42412680392400 has 360 divisors, whose sum is σ = 153276219622656. Its totient is φ = 10848344371200.

The previous prime is 42412680392399. The next prime is 42412680392437. The reversal of 42412680392400 is 429308621424.

42412680392400 is a `hidden beast` number, since 4 + 24 + 126 + 80 + 392 + 40 + 0 = 666.

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, 10929199 + ... + 14292401.

Almost surely, 2^{42412680392400} is an apocalyptic number.

42412680392400 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 42412680392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76638109811328).

42412680392400 is an abundant number, since it is smaller than the sum of its proper divisors (110863539230256).

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

42412680392400 is a wasteful number, since it uses less digits than its factorization.

42412680392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363371 (or 3363357 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42412680392400 in words is "forty-two trillion, four hundred twelve billion, six hundred eighty million, three hundred ninety-two thousand, four hundred".