40426076160 has 960 divisors, whose sum is σ = 159256056960. Its totient is φ = 9767485440.

The previous prime is 40426076153. The next prime is 40426076189. The reversal of 40426076160 is 6167062404.

40426076160 is a `hidden beast` number, since 4 + 0 + 42 + 607 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 662722530 + ... + 662722590.

It is an arithmetic number, because the mean of its divisors is an integer number (165891726).

Almost surely, 2^40426076160 is an apocalyptic number.

40426076160 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 40426076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79628028480).

40426076160 is an abundant number, since it is smaller than the sum of its proper divisors (118829980800).

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

40426076160 is a wasteful number, since it uses less digits than its factorization.

40426076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40426076160 in words is "forty billion, four hundred twenty-six million, seventy-six thousand, one hundred sixty".