40574300405760 has 2400 divisors, whose sum is σ = 176966147191680. Its totient is φ = 8765256499200.

The previous prime is 40574300405659. The next prime is 40574300405831. The reversal of 40574300405760 is 6750400347504.

40574300405760 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 4 + 30 + 0 + 40 + 576 + 0 = 666.

It is a super-2 number, since 2×40574300405760² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 23576001700 + ... + 23576003420.

Almost surely, 2^{40574300405760} is an apocalyptic number.

40574300405760 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 40574300405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88483073595840).

40574300405760 is an abundant number, since it is smaller than the sum of its proper divisors (136391846785920).

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

40574300405760 is a wasteful number, since it uses less digits than its factorization.

40574300405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 40574300405760 in words is "forty trillion, five hundred seventy-four billion, three hundred million, four hundred five thousand, seven hundred sixty".