42042138782400 has 1008 divisors, whose sum is σ = 164526994535904. Its totient is φ = 10522846494720.

The previous prime is 42042138782353. The next prime is 42042138782401. The reversal of 42042138782400 is 428783124024.

42042138782400 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 21 + 387 + 8 + 240 + 0 = 666.

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 (42042138782401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2465372274 + ... + 2465389326.

It is an arithmetic number, because the mean of its divisors is an integer number (163221224738).

Almost surely, 2^{42042138782400} is an apocalyptic number.

42042138782400 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 42042138782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82263497267952).

42042138782400 is an abundant number, since it is smaller than the sum of its proper divisors (122484855753504).

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

42042138782400 is a wasteful number, since it uses less digits than its factorization.

42042138782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17453 counting only the distinct ones).

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

The spelling of 42042138782400 in words is "forty-two trillion, forty-two billion, one hundred thirty-eight million, seven hundred eighty-two thousand, four hundred".