40150760626704 has 480 divisors, whose sum is σ = 131531307957504. Its totient is φ = 10459924070400.

The previous prime is 40150760626679. The next prime is 40150760626811. The reversal of 40150760626704 is 40762606705104.

It is a super-2 number, since 2×40150760626704² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

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, 1262864632 + ... + 1262896424.

Almost surely, 2^{40150760626704} 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 40150760626704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65765653978752).

40150760626704 is an abundant number, since it is smaller than the sum of its proper divisors (91380547330800).

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

40150760626704 is a wasteful number, since it uses less digits than its factorization.

40150760626704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32335 (or 32322 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 40150760626704 in words is "forty trillion, one hundred fifty billion, seven hundred sixty million, six hundred twenty-six thousand, seven hundred four".