1004401400400 has 180 divisors, whose sum is σ = 3669002207520. Its totient is φ = 253743494400.

The previous prime is 1004401400351. The next prime is 1004401400437. The reversal of 1004401400400 is 40041044001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1004401400400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 7273716 + ... + 7410515.

Almost surely, 2^{1004401400400} is an apocalyptic number.

1004401400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004401400400 is an abundant number, since it is smaller than the sum of its proper divisors (2664600807120).

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

1004401400400 is a wasteful number, since it uses less digits than its factorization.

1004401400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14684274 (or 14684260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1004401400400 its reverse (40041044001), we get a palindrome (1044442444401).

The spelling of 1004401400400 in words is "one trillion, four billion, four hundred one million, four hundred thousand, four hundred".