40470988000 has 144 divisors (see below), whose sum is σ = 104949949104. Its totient is φ = 15335827200.

The previous prime is 40470987983. The next prime is 40470988003. The reversal of 40470988000 is 88907404.

It is a super-2 number, since 2×40470988000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40470988003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429987 + ... + 1458013.

It is an arithmetic number, because the mean of its divisors is an integer number (728819091).

Almost surely, 2^40470988000 is an apocalyptic number.

40470988000 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 40470988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52474974552).

40470988000 is an abundant number, since it is smaller than the sum of its proper divisors (64478961104).

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

40470988000 is a wasteful number, since it uses less digits than its factorization.

40470988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28090 (or 28053 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 40470988000 in words is "forty billion, four hundred seventy million, nine hundred eighty-eight thousand".