40400894961 has 256 divisors, whose sum is σ = 78046156800. Its totient is φ = 20379340800.

The previous prime is 40400894959. The next prime is 40400894999. The reversal of 40400894961 is 16949800404.

40400894961 is a `hidden beast` number, since 40 + 40 + 0 + 89 + 496 + 1 = 666.

40400894961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40400894961 - 2¹ = 40400894959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40400894461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 400008811 + ... + 400008911.

It is an arithmetic number, because the mean of its divisors is an integer number (304867800).

Almost surely, 2^40400894961 is an apocalyptic number.

It is an amenable number.

40400894961 is a deficient number, since it is larger than the sum of its proper divisors (37645261839).

40400894961 is a wasteful number, since it uses less digits than its factorization.

40400894961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40400894961 in words is "forty billion, four hundred million, eight hundred ninety-four thousand, nine hundred sixty-one".