40342234435400 has 192 divisors, whose sum is σ = 99378624480000. Its totient is φ = 15187799531520.

The previous prime is 40342234435397. The next prime is 40342234435403. The reversal of 40342234435400 is 453443224304.

It is an interprime number because it is at equal distance from previous prime (40342234435397) and next prime (40342234435403).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (40342234435403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402852536 + ... + 402952664.

It is an arithmetic number, because the mean of its divisors is an integer number (517597002500).

Almost surely, 2^{40342234435400} is an apocalyptic number.

40342234435400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40342234435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49689312240000).

40342234435400 is an abundant number, since it is smaller than the sum of its proper divisors (59036390044600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40342234435400 is a wasteful number, since it uses less digits than its factorization.

40342234435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100856 (or 100847 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 38.

Adding to 40342234435400 its reverse (453443224304), we get a palindrome (40795677659704).

The spelling of 40342234435400 in words is "forty trillion, three hundred forty-two billion, two hundred thirty-four million, four hundred thirty-five thousand, four hundred".