1077374070400 has 48 divisors (see below), whose sum is σ = 2661450641190. Its totient is φ = 430949626880.

The previous prime is 1077374070373. The next prime is 1077374070433. The reversal of 1077374070400 is 40704737701.

It can be written as a sum of positive squares in 3 ways, for example, as 460671697984 + 616702372416 = 678728^2 + 785304^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168336499 + ... + 168342898.

Almost surely, 2^{1077374070400} is an apocalyptic number.

1077374070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077374070400 is an abundant number, since it is smaller than the sum of its proper divisors (1584076570790).

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

1077374070400 is an equidigital number, since it uses as much as digits as its factorization.

1077374070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336679421 (or 336679404 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The spelling of 1077374070400 in words is "one trillion, seventy-seven billion, three hundred seventy-four million, seventy thousand, four hundred".