1004870246400 has 504 divisors, whose sum is σ = 3687517554084. Its totient is φ = 261409996800.

The previous prime is 1004870246383. The next prime is 1004870246411. The reversal of 1004870246400 is 46420784001.

1004870246400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 7 + 0 + 2 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 1004869914624 = 576^2 + 1002432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75564552 + ... + 75577848.

Almost surely, 2^{1004870246400} is an apocalyptic number.

1004870246400 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 1004870246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843758777042).

1004870246400 is an abundant number, since it is smaller than the sum of its proper divisors (2682647307684).

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

1004870246400 is a wasteful number, since it uses less digits than its factorization.

1004870246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1004870246400 in words is "one trillion, four billion, eight hundred seventy million, two hundred forty-six thousand, four hundred".