549634406400 has 432 divisors, whose sum is σ = 1978110814680. Its totient is φ = 145848729600.

The previous prime is 549634406393. The next prime is 549634406437. The reversal of 549634406400 is 4604436945.

549634406400 is a `hidden beast` number, since 5 + 4 + 9 + 634 + 4 + 0 + 6 + 4 + 0 + 0 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97225974 + ... + 97231626.

Almost surely, 2^549634406400 is an apocalyptic number.

549634406400 is a gapful number since it is divisible by the number (50) 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 549634406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989055407340).

549634406400 is an abundant number, since it is smaller than the sum of its proper divisors (1428476408280).

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

549634406400 is a wasteful number, since it uses less digits than its factorization.

549634406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 549634406400 in words is "five hundred forty-nine billion, six hundred thirty-four million, four hundred six thousand, four hundred".