42421544400 has 120 divisors (see below), whose sum is σ = 135937432384. Its totient is φ = 11308492800.

The previous prime is 42421544383. The next prime is 42421544401. The reversal of 42421544400 is 444512424.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42421544401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5584605 + ... + 5592195.

Almost surely, 2^42421544400 is an apocalyptic number.

42421544400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42421544400 is an abundant number, since it is smaller than the sum of its proper divisors (93515887984).

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

42421544400 is a wasteful number, since it uses less digits than its factorization.

42421544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 42421544400 in words is "forty-two billion, four hundred twenty-one million, five hundred forty-four thousand, four hundred".