408747325140 has 384 divisors, whose sum is σ = 1600007270400. Its totient is φ = 84154360320.

The previous prime is 408747325127. The next prime is 408747325187. The reversal of 408747325140 is 41523747804.

408747325140 is a `hidden beast` number, since 40 + 87 + 473 + 25 + 1 + 40 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4487127 + ... + 4577313.

It is an arithmetic number, because the mean of its divisors is an integer number (4166685600).

Almost surely, 2^408747325140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408747325140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800003635200).

408747325140 is an abundant number, since it is smaller than the sum of its proper divisors (1191259945260).

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

408747325140 is a wasteful number, since it uses less digits than its factorization.

408747325140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90332 (or 90324 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 408747325140 in words is "four hundred eight billion, seven hundred forty-seven million, three hundred twenty-five thousand, one hundred forty".