1004101270400 has 96 divisors (see below), whose sum is σ = 2522485816200. Its totient is φ = 394832967680.

The previous prime is 1004101270363. The next prime is 1004101270423. The reversal of 1004101270400 is 40721014001.

It is a super-4 number, since 4×1004101270400⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2470367 + ... + 2847966.

Almost surely, 2^{1004101270400} is an apocalyptic number.

1004101270400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004101270400 is an abundant number, since it is smaller than the sum of its proper divisors (1518384545800).

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

1004101270400 is an equidigital number, since it uses as much as digits as its factorization.

1004101270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318416 (or 5318399 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 1004101270400 its reverse (40721014001), we get a palindrome (1044822284401).

The spelling of 1004101270400 in words is "one trillion, four billion, one hundred one million, two hundred seventy thousand, four hundred".