40957050420 has 864 divisors, whose sum is σ = 159280902144. Its totient is φ = 8430428160.

The previous prime is 40957050397. The next prime is 40957050439. The reversal of 40957050420 is 2405075904.

40957050420 is a `hidden beast` number, since 40 + 9 + 570 + 5 + 0 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 322496397 + ... + 322496523.

It is an arithmetic number, because the mean of its divisors is an integer number (184352896).

Almost surely, 2^40957050420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40957050420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79640451072).

40957050420 is an abundant number, since it is smaller than the sum of its proper divisors (118323851724).

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

40957050420 is a wasteful number, since it uses less digits than its factorization.

40957050420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 40957050420 in words is "forty billion, nine hundred fifty-seven million, fifty thousand, four hundred twenty".