42958662301440 has 576 divisors, whose sum is σ = 156070133452800. Its totient is φ = 11184320249856.

The previous prime is 42958662301363. The next prime is 42958662301517. The reversal of 42958662301440 is 4410326685924.

42958662301440 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 8 + 6 + 623 + 0 + 1 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42958662301363) and next prime (42958662301517).

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 664314549 + ... + 664379211.

It is an arithmetic number, because the mean of its divisors is an integer number (270955092800).

Almost surely, 2^{42958662301440} is an apocalyptic number.

42958662301440 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 42958662301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78035066726400).

42958662301440 is an abundant number, since it is smaller than the sum of its proper divisors (113111471151360).

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

42958662301440 is a wasteful number, since it uses less digits than its factorization.

42958662301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65149 (or 65129 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 42958662301440 in words is "forty-two trillion, nine hundred fifty-eight billion, six hundred sixty-two million, three hundred one thousand, four hundred forty".