1034042142400 has 84 divisors (see below), whose sum is σ = 2632127649120. Its totient is φ = 399354188800.

The previous prime is 1034042142383. The next prime is 1034042142421. The reversal of 1034042142400 is 42412404301.

1034042142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 11096296 + ... + 11189095.

Almost surely, 2^{1034042142400} is an apocalyptic number.

1034042142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034042142400 is an abundant number, since it is smaller than the sum of its proper divisors (1598085506720).

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

1034042142400 is a wasteful number, since it uses less digits than its factorization.

1034042142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285442 (or 22285427 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1034042142400 its reverse (42412404301), we get a palindrome (1076454546701).

The spelling of 1034042142400 in words is "one trillion, thirty-four billion, forty-two million, one hundred forty-two thousand, four hundred".