1090347494400 has 1584 divisors, whose sum is σ = 4297401448704. Its totient is φ = 263350517760.

The previous prime is 1090347494387. The next prime is 1090347494417. The reversal of 1090347494400 is 44947430901.

1090347494400 is a `hidden beast` number, since 1 + 0 + 90 + 3 + 4 + 74 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13136716759 + ... + 13136716841.

Almost surely, 2^{1090347494400} is an apocalyptic number.

1090347494400 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 1090347494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148700724352).

1090347494400 is an abundant number, since it is smaller than the sum of its proper divisors (3207053954304).

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

1090347494400 is a wasteful number, since it uses less digits than its factorization.

1090347494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1090347494400 in words is "one trillion, ninety billion, three hundred forty-seven million, four hundred ninety-four thousand, four hundred".