42482646400 has 96 divisors (see below), whose sum is σ = 111118814280. Its totient is φ = 15993446400.

The previous prime is 42482646377. The next prime is 42482646413. The reversal of 42482646400 is 464628424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 336066 + ... + 444865.

Almost surely, 2^42482646400 is an apocalyptic number.

42482646400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42482646400 is an abundant number, since it is smaller than the sum of its proper divisors (68636167880).

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

42482646400 is a wasteful number, since it uses less digits than its factorization.

42482646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780972 (or 780955 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 42482646400 in words is "forty-two billion, four hundred eighty-two million, six hundred forty-six thousand, four hundred".