102424656414420 has 144 divisors (see below), whose sum is σ = 311621638298880. Its totient is φ = 27231216139008.

The previous prime is 102424656414407. The next prime is 102424656414469. The reversal of 102424656414420 is 24414656424201.

102424656414420 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 46 + 564 + 1 + 4 + 42 + 0 = 666.

It is a super-2 number, since 2×102424656414420² (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 238460211 + ... + 238889349.

Almost surely, 2^{102424656414420} is an apocalyptic number.

102424656414420 is a gapful number since it is divisible by the number (10) 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 102424656414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155810819149440).

102424656414420 is an abundant number, since it is smaller than the sum of its proper divisors (209196981884460).

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

102424656414420 is a wasteful number, since it uses less digits than its factorization.

102424656414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433134 (or 433129 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 102424656414420 in words is "one hundred two trillion, four hundred twenty-four billion, six hundred fifty-six million, four hundred fourteen thousand, four hundred twenty".