1078407050400 has 216 divisors, whose sum is σ = 3867187484160. Its totient is φ = 282700945920.

The previous prime is 1078407050381. The next prime is 1078407050437. The reversal of 1078407050400 is 40507048701.

1078407050400 is a `hidden beast` number, since 1 + 0 + 7 + 84 + 0 + 70 + 504 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 844512 + ... + 1694111.

It is an arithmetic number, because the mean of its divisors is an integer number (17903645760).

Almost surely, 2^{1078407050400} is an apocalyptic number.

1078407050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1078407050400 is an abundant number, since it is smaller than the sum of its proper divisors (2788780433760).

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

1078407050400 is a wasteful number, since it uses less digits than its factorization.

1078407050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538708 (or 2538692 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 1078407050400 in words is "one trillion, seventy-eight billion, four hundred seven million, fifty thousand, four hundred".