40507970880 has 224 divisors, whose sum is σ = 139011038208. Its totient is φ = 9934848000.

The previous prime is 40507970801. The next prime is 40507970939. The reversal of 40507970880 is 8807970504.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3501105 + ... + 3512655.

It is an arithmetic number, because the mean of its divisors is an integer number (620584992).

Almost surely, 2^40507970880 is an apocalyptic number.

40507970880 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 40507970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69505519104).

40507970880 is an abundant number, since it is smaller than the sum of its proper divisors (98503067328).

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

40507970880 is a wasteful number, since it uses less digits than its factorization.

40507970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 40507970880 in words is "forty billion, five hundred seven million, nine hundred seventy thousand, eight hundred eighty".