1091213798400 has 792 divisors, whose sum is σ = 4275425020464. Its totient is φ = 263720140800.

The previous prime is 1091213798369. The next prime is 1091213798431. The reversal of 1091213798400 is 48973121901.

1091213798400 is a `hidden beast` number, since 1 + 0 + 9 + 121 + 37 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1091213798369) and next prime (1091213798431).

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 1411660414 + ... + 1411661186.

Almost surely, 2^{1091213798400} is an apocalyptic number.

1091213798400 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 1091213798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137712510232).

1091213798400 is an abundant number, since it is smaller than the sum of its proper divisors (3184211222064).

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

1091213798400 is a wasteful number, since it uses less digits than its factorization.

1091213798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1091213798400 in words is "one trillion, ninety-one billion, two hundred thirteen million, seven hundred ninety-eight thousand, four hundred".