1042676400 has 120 divisors (see below), whose sum is σ = 3351798864. Its totient is φ = 277068800.

The previous prime is 1042676399. The next prime is 1042676491. The reversal of 1042676400 is 46762401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379030 + ... + 381770.

Almost surely, 2^1042676400 is an apocalyptic number.

1042676400 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 1042676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675899432).

1042676400 is an abundant number, since it is smaller than the sum of its proper divisors (2309122464).

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

1042676400 is a wasteful number, since it uses less digits than its factorization.

1042676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1042676400 is about 32290.5001509732. The cubic root of 1042676400 is about 1014.0277682641.

The spelling of 1042676400 in words is "one billion, forty-two million, six hundred seventy-six thousand, four hundred".