40263401078784 has 400 divisors, whose sum is σ = 129548094198600. Its totient is φ = 12388568924160.

The previous prime is 40263401078783. The next prime is 40263401078827. The reversal of 40263401078784 is 48787010436204.

40263401078784 is a `hidden beast` number, since 40 + 2 + 6 + 340 + 107 + 87 + 84 = 666.

It is a super-2 number, since 2×40263401078784² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40263401078784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40263401078783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552038799 + ... + 552111729.

Almost surely, 2^{40263401078784} 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 40263401078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774047099300).

40263401078784 is an abundant number, since it is smaller than the sum of its proper divisors (89284693119816).

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

40263401078784 is an frugal number, since it uses more digits than its factorization.

40263401078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72994 (or 72949 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 40263401078784 in words is "forty trillion, two hundred sixty-three billion, four hundred one million, seventy-eight thousand, seven hundred eighty-four".