42015153600 has 840 divisors, whose sum is σ = 182700107040. Its totient is φ = 9266503680.

The previous prime is 42015153599. The next prime is 42015153601. The reversal of 42015153600 is 635151024.

42015153600 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 5 + 1 + 53 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42015153599) and next prime (42015153601).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015153601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26308002 + ... + 26309598.

Almost surely, 2^42015153600 is an apocalyptic number.

42015153600 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 42015153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91350053520).

42015153600 is an abundant number, since it is smaller than the sum of its proper divisors (140684953440).

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

42015153600 is a wasteful number, since it uses less digits than its factorization.

42015153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 42015153600 in words is "forty-two billion, fifteen million, one hundred fifty-three thousand, six hundred".