42348037092480 has 3072 divisors, whose sum is σ = 193625735040000. Its totient is φ = 8550711558144.

The previous prime is 42348037092479. The next prime is 42348037092533. The reversal of 42348037092480 is 8429073084324.

42348037092480 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 8 + 0 + 3 + 70 + 92 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37509332556 + ... + 37509333684.

It is an arithmetic number, because the mean of its divisors is an integer number (63029210625).

Almost surely, 2^{42348037092480} is an apocalyptic number.

42348037092480 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 42348037092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96812867520000).

42348037092480 is an abundant number, since it is smaller than the sum of its proper divisors (151277697947520).

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

42348037092480 is a wasteful number, since it uses less digits than its factorization.

42348037092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42348037092480 in words is "forty-two trillion, three hundred forty-eight billion, thirty-seven million, ninety-two thousand, four hundred eighty".