240331330045400 has 192 divisors, whose sum is σ = 613579603392000. Its totient is φ = 86819766387200.

The previous prime is 240331330045397. The next prime is 240331330045493. The reversal of 240331330045400 is 4540033133042.

It is a super-2 number, since 2×240331330045400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219764762 + ... + 220855638.

It is an arithmetic number, because the mean of its divisors is an integer number (3195727101000).

Almost surely, 2^{240331330045400} is an apocalyptic number.

240331330045400 is a gapful number since it is divisible by the number (20) 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 240331330045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306789801696000).

240331330045400 is an abundant number, since it is smaller than the sum of its proper divisors (373248273346600).

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

240331330045400 is a wasteful number, since it uses less digits than its factorization.

240331330045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091562 (or 1091553 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 240331330045400 its reverse (4540033133042), we get a palindrome (244871363178442).

The spelling of 240331330045400 in words is "two hundred forty trillion, three hundred thirty-one billion, three hundred thirty million, forty-five thousand, four hundred".