408056140800 has 3168 divisors, whose sum is σ = 2041751819520. Its totient is φ = 77856768000.

The previous prime is 408056140781. The next prime is 408056140813. The reversal of 408056140800 is 8041650804.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9952588780 + ... + 9952588820.

Almost surely, 2^408056140800 is an apocalyptic number.

408056140800 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 408056140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020875909760).

408056140800 is an abundant number, since it is smaller than the sum of its proper divisors (1633695678720).

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

408056140800 is a wasteful number, since it uses less digits than its factorization.

408056140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 408056140800 in words is "four hundred eight billion, fifty-six million, one hundred forty thousand, eight hundred".