42117978240 has 320 divisors, whose sum is σ = 161983566360. Its totient is φ = 10367336448.

The previous prime is 42117978239. The next prime is 42117978241. The reversal of 42117978240 is 4287971124.

It is an interprime number because it is at equal distance from previous prime (42117978239) and next prime (42117978241).

It can be written as a sum of positive squares in 4 ways, for example, as 23541378624 + 18576599616 = 153432^2 + 136296^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×42117978240² (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 not an unprimeable number, because it can be changed into a prime (42117978241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 642672 + ... + 705168.

Almost surely, 2^42117978240 is an apocalyptic number.

42117978240 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 42117978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80991783180).

42117978240 is an abundant number, since it is smaller than the sum of its proper divisors (119865588120).

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

42117978240 is a wasteful number, since it uses less digits than its factorization.

42117978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62541 (or 62520 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 42117978240 in words is "forty-two billion, one hundred seventeen million, nine hundred seventy-eight thousand, two hundred forty".