42149345172480 has 4224 divisors, whose sum is σ = 201166284533760. Its totient is φ = 8209783848960.

The previous prime is 42149345172433. The next prime is 42149345172511. The reversal of 42149345172480 is 8427154394124.

It is a happy number.

42149345172480 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 93 + 4 + 5 + 1 + 72 + 480 = 666.

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

It is a congruent number.

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, 117407646541 + ... + 117407646899.

Almost surely, 2^{42149345172480} is an apocalyptic number.

42149345172480 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 42149345172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100583142266880).

42149345172480 is an abundant number, since it is smaller than the sum of its proper divisors (159016939361280).

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

42149345172480 is a wasteful number, since it uses less digits than its factorization.

42149345172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42149345172480 in words is "forty-two trillion, one hundred forty-nine billion, three hundred forty-five million, one hundred seventy-two thousand, four hundred eighty".