40574224370400 has 144 divisors (see below), whose sum is σ = 150936114720384. Its totient is φ = 9274108423680.

The previous prime is 40574224370357. The next prime is 40574224370429. The reversal of 40574224370400 is 407342247504.

It is a super-2 number, since 2×40574224370400² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207549402 + ... + 1207583001.

It is an arithmetic number, because the mean of its divisors is an integer number (1048167463336).

Almost surely, 2^{40574224370400} is an apocalyptic number.

40574224370400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40574224370400 is an abundant number, since it is smaller than the sum of its proper divisors (110361890349984).

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

40574224370400 is a wasteful number, since it uses less digits than its factorization.

40574224370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415132433 (or 2415132420 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 40574224370400 in words is "forty trillion, five hundred seventy-four billion, two hundred twenty-four million, three hundred seventy thousand, four hundred".