40896146207763 has 480 divisors, whose sum is σ = 84559223992320. Its totient is φ = 19191173443200.

The previous prime is 40896146207737. The next prime is 40896146207867. The reversal of 40896146207763 is 36770264169804.

It is a happy number.

40896146207763 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 614 + 6 + 2 + 0 + 7 + 7 + 6 + 3 = 666.

It is not a de Polignac number, because 40896146207763 - 2¹² = 40896146203667 is a prime.

It is a super-2 number, since 2×40896146207763² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40896146207763.

It is not an unprimeable number, because it can be changed into a prime (40896146207263) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10403494908 + ... + 10403498838.

It is an arithmetic number, because the mean of its divisors is an integer number (176165049984).

Almost surely, 2^{40896146207763} is an apocalyptic number.

40896146207763 is an abundant number, since it is smaller than the sum of its proper divisors (43663077784557).

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

40896146207763 is a wasteful number, since it uses less digits than its factorization.

40896146207763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 40896146207763 in words is "forty trillion, eight hundred ninety-six billion, one hundred forty-six million, two hundred seven thousand, seven hundred sixty-three".