366828134400 has 1680 divisors, whose sum is σ = 1679377554624. Its totient is φ = 77396705280.

The previous prime is 366828134329. The next prime is 366828134441. The reversal of 366828134400 is 4431828663.

366828134400 is a `hidden beast` number, since 3 + 66 + 82 + 81 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 119 ways as a sum of consecutive naturals, for example, 28217548794 + ... + 28217548806.

Almost surely, 2^366828134400 is an apocalyptic number.

366828134400 is a gapful number since it is divisible by the number (30) 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 366828134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839688777312).

366828134400 is an abundant number, since it is smaller than the sum of its proper divisors (1312549420224).

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

366828134400 is an frugal number, since it uses more digits than its factorization.

366828134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 366828134400 in words is "three hundred sixty-six billion, eight hundred twenty-eight million, one hundred thirty-four thousand, four hundred".