42087301401600 has 7128 divisors, whose sum is σ = 212026203829440. Its totient is φ = 8216950210560.

The previous prime is 42087301401589. The next prime is 42087301401623. The reversal of 42087301401600 is 610410378024.

42087301401600 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 7 + 3 + 0 + 1 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 978774451179 + ... + 978774451221.

Almost surely, 2^{42087301401600} is an apocalyptic number.

42087301401600 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 42087301401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106013101914720).

42087301401600 is an abundant number, since it is smaller than the sum of its proper divisors (169938902427840).

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

42087301401600 is a wasteful number, since it uses less digits than its factorization.

42087301401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 42087301401600 its reverse (610410378024), we get a palindrome (42697711779624).

The spelling of 42087301401600 in words is "forty-two trillion, eighty-seven billion, three hundred one million, four hundred one thousand, six hundred".