40248003094992 has 640 divisors, whose sum is σ = 152867253964800. Its totient is φ = 9903796024320.

The previous prime is 40248003094939. The next prime is 40248003095117. The reversal of 40248003094992 is 29949030084204.

40248003094992 is a `hidden beast` number, since 4 + 0 + 2 + 480 + 0 + 30 + 9 + 49 + 92 = 666.

It is a super-2 number, since 2×40248003094992² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76210788 + ... + 76737084.

It is an arithmetic number, because the mean of its divisors is an integer number (238855084320).

Almost surely, 2^{40248003094992} is an apocalyptic number.

40248003094992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40248003094992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76433626982400).

40248003094992 is an abundant number, since it is smaller than the sum of its proper divisors (112619250869808).

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

40248003094992 is a wasteful number, since it uses less digits than its factorization.

40248003094992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526373 (or 526339 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 40248003094992 in words is "forty trillion, two hundred forty-eight billion, three million, ninety-four thousand, nine hundred ninety-two".