1020400174080 has 2112 divisors, whose sum is σ = 4600078663680. Its totient is φ = 209687740416.

The previous prime is 1020400174049. The next prime is 1020400174091. The reversal of 1020400174080 is 804710040201.

1020400174080 is a `hidden beast` number, since 10 + 2 + 0 + 400 + 174 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8034646977 + ... + 8034647103.

Almost surely, 2^{1020400174080} is an apocalyptic number.

1020400174080 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 1020400174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300039331840).

1020400174080 is an abundant number, since it is smaller than the sum of its proper divisors (3579678489600).

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

1020400174080 is a wasteful number, since it uses less digits than its factorization.

1020400174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 1020400174080 in words is "one trillion, twenty billion, four hundred million, one hundred seventy-four thousand, eighty".