40404172245840 has 1280 divisors, whose sum is σ = 160786708992000. Its totient is φ = 9242486415360.

The previous prime is 40404172245793. The next prime is 40404172245869. The reversal of 40404172245840 is 4854227140404.

40404172245840 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 41 + 7 + 2 + 24 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13636236199 + ... + 13636239161.

It is an arithmetic number, because the mean of its divisors is an integer number (125614616400).

Almost surely, 2^{40404172245840} is an apocalyptic number.

40404172245840 is a gapful number since it is divisible by the number (40) 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 40404172245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80393354496000).

40404172245840 is an abundant number, since it is smaller than the sum of its proper divisors (120382536746160).

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

40404172245840 is a wasteful number, since it uses less digits than its factorization.

40404172245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 40404172245840 in words is "forty trillion, four hundred four billion, one hundred seventy-two million, two hundred forty-five thousand, eight hundred forty".