42157373440 has 576 divisors, whose sum is σ = 132699228480. Its totient is φ = 12716605440.

The previous prime is 42157373429. The next prime is 42157373497. The reversal of 42157373440 is 4437375124.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42157373393 and 42157373402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150026100 + ... + 150026380.

It is an arithmetic number, because the mean of its divisors is an integer number (230380605).

Almost surely, 2^42157373440 is an apocalyptic number.

42157373440 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 42157373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349614240).

42157373440 is an abundant number, since it is smaller than the sum of its proper divisors (90541855040).

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

42157373440 is a wasteful number, since it uses less digits than its factorization.

42157373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 42157373440 in words is "forty-two billion, one hundred fifty-seven million, three hundred seventy-three thousand, four hundred forty".