100494165542400 has 2160 divisors, whose sum is σ = 434923023238704. Its totient is φ = 22913485701120.

The previous prime is 100494165542399. The next prime is 100494165542437. The reversal of 100494165542400 is 4245561494001.

100494165542400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 4 + 1 + 65 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 215 ways as a sum of consecutive naturals, for example, 117812620374 + ... + 117812621226.

Almost surely, 2^{100494165542400} is an apocalyptic number.

100494165542400 is a gapful number since it is divisible by the number (10) 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 100494165542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217461511619352).

100494165542400 is an abundant number, since it is smaller than the sum of its proper divisors (334428857696304).

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

100494165542400 is an frugal number, since it uses more digits than its factorization.

100494165542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 100494165542400 in words is "one hundred trillion, four hundred ninety-four billion, one hundred sixty-five million, five hundred forty-two thousand, four hundred".