406049374800 has 360 divisors, whose sum is σ = 1443957330816. Its totient is φ = 105617295360.

The previous prime is 406049374723. The next prime is 406049374811. The reversal of 406049374800 is 8473940604.

406049374800 is a `hidden beast` number, since 4 + 0 + 604 + 9 + 37 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 51940492 + ... + 51948308.

Almost surely, 2^406049374800 is an apocalyptic number.

406049374800 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 406049374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721978665408).

406049374800 is an abundant number, since it is smaller than the sum of its proper divisors (1037907956016).

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

406049374800 is a wasteful number, since it uses less digits than its factorization.

406049374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 406049374800 in words is "four hundred six billion, forty-nine million, three hundred seventy-four thousand, eight hundred".