40504406745600 has 960 divisors, whose sum is σ = 170034734580480. Its totient is φ = 9251330457600.

The previous prime is 40504406745589. The next prime is 40504406745601. The reversal of 40504406745600 is 654760440504.

40504406745600 is a `hidden beast` number, since 4 + 0 + 50 + 440 + 67 + 45 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (40504406745601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3757012210 + ... + 3757022990.

It is an arithmetic number, because the mean of its divisors is an integer number (177119515188).

Almost surely, 2^{40504406745600} is an apocalyptic number.

40504406745600 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 40504406745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017367290240).

40504406745600 is an abundant number, since it is smaller than the sum of its proper divisors (129530327834880).

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

40504406745600 is a wasteful number, since it uses less digits than its factorization.

40504406745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 40504406745600 in words is "forty trillion, five hundred four billion, four hundred six million, seven hundred forty-five thousand, six hundred".