40957610490 has 192 divisors, whose sum is σ = 114045235200. Its totient is φ = 10168768512.

The previous prime is 40957610411. The next prime is 40957610527. The reversal of 40957610490 is 9401675904.

40957610490 is a `hidden beast` number, since 4 + 0 + 95 + 76 + 1 + 0 + 490 = 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 95 ways as a sum of consecutive naturals, for example, 24539376 + ... + 24541044.

It is an arithmetic number, because the mean of its divisors is an integer number (593985600).

Almost surely, 2^40957610490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40957610490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57022617600).

40957610490 is an abundant number, since it is smaller than the sum of its proper divisors (73087624710).

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

40957610490 is a wasteful number, since it uses less digits than its factorization.

40957610490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40957610490 in words is "forty billion, nine hundred fifty-seven million, six hundred ten thousand, four hundred ninety".