42577484400 has 360 divisors, whose sum is σ = 161546483280. Its totient is φ = 10298880000.

The previous prime is 42577484363. The next prime is 42577484437. The reversal of 42577484400 is 448477524.

42577484400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42577484363) and next prime (42577484437).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23798706 + ... + 23800494.

Almost surely, 2^42577484400 is an apocalyptic number.

42577484400 is a gapful number since it is divisible by the number (40) 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 42577484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80773241640).

42577484400 is an abundant number, since it is smaller than the sum of its proper divisors (118968998880).

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

42577484400 is a wasteful number, since it uses less digits than its factorization.

42577484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 42577484400 in words is "forty-two billion, five hundred seventy-seven million, four hundred eighty-four thousand, four hundred".