40151150395392 has 256 divisors, whose sum is σ = 111991266253440. Its totient is φ = 12771105177600.

The previous prime is 40151150395309. The next prime is 40151150395463. The reversal of 40151150395392 is 29359305115104.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×40151150395392² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951856542 + ... + 951898722.

Almost surely, 2^{40151150395392} 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 40151150395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55995633126720).

40151150395392 is an abundant number, since it is smaller than the sum of its proper divisors (71840115858048).

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

40151150395392 is an equidigital number, since it uses as much as digits as its factorization.

40151150395392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42658 (or 42630 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 48.

The spelling of 40151150395392 in words is "forty trillion, one hundred fifty-one billion, one hundred fifty million, three hundred ninety-five thousand, three hundred ninety-two".