40428861492096 has 1280 divisors, whose sum is σ = 153355886323200. Its totient is φ = 10268261498880.

The previous prime is 40428861492067. The next prime is 40428861492109. The reversal of 40428861492096 is 69029416882404.

40428861492096 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 8 + 8 + 614 + 9 + 2 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9279057150 + ... + 9279061506.

It is an arithmetic number, because the mean of its divisors is an integer number (119809286190).

Almost surely, 2^{40428861492096} 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 40428861492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76677943161600).

40428861492096 is an abundant number, since it is smaller than the sum of its proper divisors (112927024831104).

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

40428861492096 is a wasteful number, since it uses less digits than its factorization.

40428861492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 40428861492096 in words is "forty trillion, four hundred twenty-eight billion, eight hundred sixty-one million, four hundred ninety-two thousand, ninety-six".