42405156680400 has 1440 divisors, whose sum is σ = 165611605536000. Its totient is φ = 9985130496000.

The previous prime is 42405156680387. The next prime is 42405156680489. The reversal of 42405156680400 is 408665150424.

It is a happy number.

42405156680400 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 5 + 1 + 566 + 80 + 4 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 92790276972 + ... + 92790277428.

It is an arithmetic number, because the mean of its divisors is an integer number (115008059400).

Almost surely, 2^{42405156680400} is an apocalyptic number.

42405156680400 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 42405156680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82805802768000).

42405156680400 is an abundant number, since it is smaller than the sum of its proper divisors (123206448855600).

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

42405156680400 is a wasteful number, since it uses less digits than its factorization.

42405156680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42405156680400 in words is "forty-two trillion, four hundred five billion, one hundred fifty-six million, six hundred eighty thousand, four hundred".