42016747396000 has 192 divisors, whose sum is σ = 111238704289440. Its totient is φ = 15505169817600.

The previous prime is 42016747395943. The next prime is 42016747396027. The reversal of 42016747396000 is 69374761024.

It can be written as a sum of positive squares in 16 ways, for example, as 1111666574736 + 40905080821264 = 1054356^2 + 6395708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92802172 + ... + 93253828.

Almost surely, 2^{42016747396000} is an apocalyptic number.

42016747396000 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 42016747396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55619352144720).

42016747396000 is an abundant number, since it is smaller than the sum of its proper divisors (69221956893440).

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

42016747396000 is a wasteful number, since it uses less digits than its factorization.

42016747396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453484 (or 453466 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 42016747396000 in words is "forty-two trillion, sixteen billion, seven hundred forty-seven million, three hundred ninety-six thousand".