1042014400 has 126 divisors (see below), whose sum is σ = 2982844428. Its totient is φ = 357235200.

The previous prime is 1042014367. The next prime is 1042014409. The reversal of 1042014400 is 44102401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1042014409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71755 + ... + 85045.

Almost surely, 2^1042014400 is an apocalyptic number.

1042014400 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 1042014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491422214).

1042014400 is an abundant number, since it is smaller than the sum of its proper divisors (1940830028).

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

1042014400 is a wasteful number, since it uses less digits than its factorization.

1042014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1042014400 is about 32280.2478305232. The cubic root of 1042014400 is about 1013.8131192128.

Adding to 1042014400 its reverse (44102401), we get a palindrome (1086116801).

The spelling of 1042014400 in words is "one billion, forty-two million, fourteen thousand, four hundred".