42414532924680 has 1024 divisors, whose sum is σ = 171777576960000. Its totient is φ = 9099442851840.

The previous prime is 42414532924667. The next prime is 42414532924693. The reversal of 42414532924680 is 8642923541424.

42414532924680 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 4 + 532 + 9 + 24 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42414532924667) and next prime (42414532924693).

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 255 ways as a sum of consecutive naturals, for example, 4656327966 + ... + 4656337074.

It is an arithmetic number, because the mean of its divisors is an integer number (167751540000).

Almost surely, 2^{42414532924680} is an apocalyptic number.

42414532924680 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 42414532924680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85888788480000).

42414532924680 is an abundant number, since it is smaller than the sum of its proper divisors (129363044035320).

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

42414532924680 is a wasteful number, since it uses less digits than its factorization.

42414532924680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 42414532924680 in words is "forty-two trillion, four hundred fourteen billion, five hundred thirty-two million, nine hundred twenty-four thousand, six hundred eighty".