42319048635360 has 3456 divisors, whose sum is σ = 192212281497600. Its totient is φ = 8594569691136.

The previous prime is 42319048635329. The next prime is 42319048635373. The reversal of 42319048635360 is 6353684091324.

42319048635360 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 9 + 0 + 48 + 63 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42319048635297 and 42319048635306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 269548080402 + ... + 269548080558.

It is an arithmetic number, because the mean of its divisors is an integer number (55616979600).

Almost surely, 2^{42319048635360} is an apocalyptic number.

42319048635360 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 42319048635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96106140748800).

42319048635360 is an abundant number, since it is smaller than the sum of its proper divisors (149893232862240).

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

42319048635360 is a wasteful number, since it uses less digits than its factorization.

42319048635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 42319048635360 in words is "forty-two trillion, three hundred nineteen billion, forty-eight million, six hundred thirty-five thousand, three hundred sixty".