1007180420904 has 320 divisors, whose sum is σ = 3478116153600. Its totient is φ = 265727195136.

The previous prime is 1007180420899. The next prime is 1007180421007. The reversal of 1007180420904 is 4090240817001.

1007180420904 is a `hidden beast` number, since 1 + 0 + 0 + 71 + 80 + 420 + 90 + 4 = 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 79 ways as a sum of consecutive naturals, for example, 3963717 + ... + 4210155.

It is an arithmetic number, because the mean of its divisors is an integer number (10869112980).

Almost surely, 2^{1007180420904} is an apocalyptic number.

1007180420904 is a gapful number since it is divisible by the number (14) 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 1007180420904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739058076800).

1007180420904 is an abundant number, since it is smaller than the sum of its proper divisors (2470935732696).

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

1007180420904 is a wasteful number, since it uses less digits than its factorization.

1007180420904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246534 (or 246521 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1007180420904 in words is "one trillion, seven billion, one hundred eighty million, four hundred twenty thousand, nine hundred four".