42640809251040 has 7776 divisors, whose sum is σ = 227409208895232. Its totient is φ = 7449432883200.

The previous prime is 42640809251039. The next prime is 42640809251083. The reversal of 42640809251040 is 4015290804624.

It is a happy number.

42640809251040 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 0 + 8 + 0 + 92 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a super-2 number, since 2×42640809251040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 1375509975825 + ... + 1375509975855.

It is an arithmetic number, because the mean of its divisors is an integer number (29245011432).

Almost surely, 2^{42640809251040} is an apocalyptic number.

42640809251040 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 42640809251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113704604447616).

42640809251040 is an abundant number, since it is smaller than the sum of its proper divisors (184768399644192).

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

42640809251040 is a wasteful number, since it uses less digits than its factorization.

42640809251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42640809251040 in words is "forty-two trillion, six hundred forty billion, eight hundred nine million, two hundred fifty-one thousand, forty".