40472831952000 has 1024 divisors, whose sum is σ = 172475743564800. Its totient is φ = 9250877030400.

The previous prime is 40472831951969. The next prime is 40472831952023. The reversal of 40472831952000 is 25913827404.

40472831952000 is a `hidden beast` number, since 4 + 0 + 47 + 2 + 83 + 1 + 9 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244861384 + ... + 245026616.

It is an arithmetic number, because the mean of its divisors is an integer number (168433343325).

Almost surely, 2^{40472831952000} is an apocalyptic number.

40472831952000 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 40472831952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86237871782400).

40472831952000 is an abundant number, since it is smaller than the sum of its proper divisors (132002911612800).

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

40472831952000 is an frugal number, since it uses more digits than its factorization.

40472831952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165290 (or 165250 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40472831952000 in words is "forty trillion, four hundred seventy-two billion, eight hundred thirty-one million, nine hundred fifty-two thousand".