42157117440 has 624 divisors, whose sum is σ = 155850222528. Its totient is φ = 10924720128.

The previous prime is 42157117433. The next prime is 42157117451. The reversal of 42157117440 is 4471175124.

42157117440 is a `hidden beast` number, since 42 + 1 + 571 + 1 + 7 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42157117395 and 42157117404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213995422 + ... + 213995618.

It is an arithmetic number, because the mean of its divisors is an integer number (249759972).

Almost surely, 2^42157117440 is an apocalyptic number.

42157117440 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 42157117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77925111264).

42157117440 is an abundant number, since it is smaller than the sum of its proper divisors (113693105088).

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

42157117440 is an equidigital number, since it uses as much as digits as its factorization.

42157117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 42157117440 in words is "forty-two billion, one hundred fifty-seven million, one hundred seventeen thousand, four hundred forty".