42115064036400 has 180 divisors, whose sum is σ = 146247714390960. Its totient is φ = 11223249676800.

The previous prime is 42115064036387. The next prime is 42115064036417. The reversal of 42115064036400 is 463046051124.

42115064036400 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 5 + 0 + 6 + 4 + 0 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 1568446 + ... + 9310754.

It is an arithmetic number, because the mean of its divisors is an integer number (812487302172).

Almost surely, 2^{42115064036400} is an apocalyptic number.

42115064036400 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 42115064036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73123857195480).

42115064036400 is an abundant number, since it is smaller than the sum of its proper divisors (104132650354560).

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

42115064036400 is a wasteful number, since it uses less digits than its factorization.

42115064036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743844 (or 7743830 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42115064036400 in words is "forty-two trillion, one hundred fifteen billion, sixty-four million, thirty-six thousand, four hundred".