42372479116240 has 720 divisors, whose sum is σ = 128003812637904. Its totient is φ = 12928932495360.

The previous prime is 42372479116217. The next prime is 42372479116259. The reversal of 42372479116240 is 4261197427324.

It can be written as a sum of positive squares in 8 ways, for example, as 1348812795456 + 41023666320784 = 1161384^2 + 6404972^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14348958604 + ... + 14348961556.

Almost surely, 2^{42372479116240} is an apocalyptic number.

42372479116240 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 42372479116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64001906318952).

42372479116240 is an abundant number, since it is smaller than the sum of its proper divisors (85631333521664).

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

42372479116240 is a wasteful number, since it uses less digits than its factorization.

42372479116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 42372479116240 in words is "forty-two trillion, three hundred seventy-two billion, four hundred seventy-nine million, one hundred sixteen thousand, two hundred forty".