1334011042400 has 72 divisors (see below), whose sum is σ = 3281514672744. Its totient is φ = 529531059200.

The previous prime is 1334011042381. The next prime is 1334011042487. The reversal of 1334011042400 is 42401104331.

It is a super-2 number, since 2×1334011042400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6259757 + ... + 6469356.

It is an arithmetic number, because the mean of its divisors is an integer number (45576592677).

Almost surely, 2^{1334011042400} is an apocalyptic number.

1334011042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334011042400 is an abundant number, since it is smaller than the sum of its proper divisors (1947503630344).

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

1334011042400 is a wasteful number, since it uses less digits than its factorization.

1334011042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729264 (or 12729251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1334011042400 its reverse (42401104331), we get a palindrome (1376412146731).

The spelling of 1334011042400 in words is "one trillion, three hundred thirty-four billion, eleven million, forty-two thousand, four hundred".