42132053222400 has 264 divisors, whose sum is σ = 140265078665760. Its totient is φ = 11153202544640.

The previous prime is 42132053222251. The next prime is 42132053222431. The reversal of 42132053222400 is 422235023124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8519431 + ... + 12523769.

Almost surely, 2^{42132053222400} is an apocalyptic number.

42132053222400 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 42132053222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132539332880).

42132053222400 is an abundant number, since it is smaller than the sum of its proper divisors (98133025443360).

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

42132053222400 is a wasteful number, since it uses less digits than its factorization.

42132053222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004509 (or 4004486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42132053222400 its reverse (422235023124), we get a palindrome (42554288245524).

The spelling of 42132053222400 in words is "forty-two trillion, one hundred thirty-two billion, fifty-three million, two hundred twenty-two thousand, four hundred".