42615483840 has 168 divisors, whose sum is σ = 147318069600. Its totient is φ = 11306870784.

The previous prime is 42615483817. The next prime is 42615483877. The reversal of 42615483840 is 4838451624.

42615483840 is a `hidden beast` number, since 4 + 2 + 61 + 548 + 3 + 8 + 40 = 666.

It is a super-2 number, since 2×42615483840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535942 + ... + 610298.

Almost surely, 2^42615483840 is an apocalyptic number.

42615483840 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 42615483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73659034800).

42615483840 is an abundant number, since it is smaller than the sum of its proper divisors (104702585760).

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

42615483840 is a wasteful number, since it uses less digits than its factorization.

42615483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74579 (or 74566 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42615483840 in words is "forty-two billion, six hundred fifteen million, four hundred eighty-three thousand, eight hundred forty".