42488762400 has 648 divisors, whose sum is σ = 176508796464. Its totient is φ = 9588096000.

The previous prime is 42488762377. The next prime is 42488762401. The reversal of 42488762400 is 426788424.

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

It is not an unprimeable number, because it can be changed into a prime (42488762401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29281675 + ... + 29283125.

It is an arithmetic number, because the mean of its divisors is an integer number (272390118).

Almost surely, 2^42488762400 is an apocalyptic number.

42488762400 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 42488762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88254398232).

42488762400 is an abundant number, since it is smaller than the sum of its proper divisors (134020034064).

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

42488762400 is a wasteful number, since it uses less digits than its factorization.

42488762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42488762400 in words is "forty-two billion, four hundred eighty-eight million, seven hundred sixty-two thousand, four hundred".