42981519006720 has 4224 divisors, whose sum is σ = 196461692928000. Its totient is φ = 9007041576960.

The previous prime is 42981519006707. The next prime is 42981519006733. The reversal of 42981519006720 is 2760091518924.

It is a happy number.

42981519006720 is a `hidden beast` number, since 4 + 29 + 81 + 519 + 0 + 0 + 6 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42981519006707) and next prime (42981519006733).

It is a super-2 number, since 2×42981519006720² (a number of 28 digits) contains 22 as substring.

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, 1386500613105 + ... + 1386500613135.

Almost surely, 2^{42981519006720} is an apocalyptic number.

42981519006720 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 42981519006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98230846464000).

42981519006720 is an abundant number, since it is smaller than the sum of its proper divisors (153480173921280).

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

42981519006720 is an frugal number, since it uses more digits than its factorization.

42981519006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 42981519006720 in words is "forty-two trillion, nine hundred eighty-one billion, five hundred nineteen million, six thousand, seven hundred twenty".