1091938910400 has 504 divisors, whose sum is σ = 4361284505760. Its totient is φ = 257097646080.

The previous prime is 1091938910371. The next prime is 1091938910429. The reversal of 1091938910400 is 40198391901.

It is an interprime number because it is at equal distance from previous prime (1091938910371) and next prime (1091938910429).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4178796 + ... + 4432404.

Almost surely, 2^{1091938910400} is an apocalyptic number.

1091938910400 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 1091938910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180642252880).

1091938910400 is an abundant number, since it is smaller than the sum of its proper divisors (3269345595360).

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

1091938910400 is a wasteful number, since it uses less digits than its factorization.

1091938910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253673 (or 253655 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 1091938910400 in words is "one trillion, ninety-one billion, nine hundred thirty-eight million, nine hundred ten thousand, four hundred".