1102496054400 has 576 divisors, whose sum is σ = 4393521088320. Its totient is φ = 271381155840.

The previous prime is 1102496054393. The next prime is 1102496054417. The reversal of 1102496054400 is 44506942011.

1102496054400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 4 + 9 + 605 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 10054269 + ... + 10163331.

Almost surely, 2^{1102496054400} is an apocalyptic number.

1102496054400 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 1102496054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196760544160).

1102496054400 is an abundant number, since it is smaller than the sum of its proper divisors (3291025033920).

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

1102496054400 is a wasteful number, since it uses less digits than its factorization.

1102496054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109115 (or 109086 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1102496054400 in words is "one trillion, one hundred two billion, four hundred ninety-six million, fifty-four thousand, four hundred".