42254615520 has 240 divisors, whose sum is σ = 160595265600. Its totient is φ = 10401094656.

The previous prime is 42254615509. The next prime is 42254615551. The reversal of 42254615520 is 2551645224.

42254615520 is a `hidden beast` number, since 4 + 22 + 54 + 61 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43081 + ... + 293879.

It is an arithmetic number, because the mean of its divisors is an integer number (669146940).

Almost surely, 2^42254615520 is an apocalyptic number.

42254615520 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 42254615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80297632800).

42254615520 is an abundant number, since it is smaller than the sum of its proper divisors (118340650080).

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

42254615520 is a wasteful number, since it uses less digits than its factorization.

42254615520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250839 (or 250822 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42254615520 in words is "forty-two billion, two hundred fifty-four million, six hundred fifteen thousand, five hundred twenty".