42154391413680 has 1920 divisors, whose sum is σ = 172083385958400. Its totient is φ = 8500570251264.

The previous prime is 42154391413661. The next prime is 42154391413733. The reversal of 42154391413680 is 8631419345124.

It is a super-2 number, since 2×42154391413680² (a number of 28 digits) contains 22 as substring.

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, 95156639539 + ... + 95156639981.

It is an arithmetic number, because the mean of its divisors is an integer number (89626763520).

Almost surely, 2^{42154391413680} is an apocalyptic number.

42154391413680 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 42154391413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86041692979200).

42154391413680 is an abundant number, since it is smaller than the sum of its proper divisors (129928994544720).

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

42154391413680 is a wasteful number, since it uses less digits than its factorization.

42154391413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 42154391413680 in words is "forty-two trillion, one hundred fifty-four billion, three hundred ninety-one million, four hundred thirteen thousand, six hundred eighty".