102420014400 has 756 divisors, whose sum is σ = 409731338016. Its totient is φ = 24233932800.

The previous prime is 102420014399. The next prime is 102420014419. The reversal of 102420014400 is 4410024201.

102420014400 is a `hidden beast` number, since 1 + 0 + 24 + 200 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74922517 + ... + 74923883.

Almost surely, 2^102420014400 is an apocalyptic number.

102420014400 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 102420014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204865669008).

102420014400 is an abundant number, since it is smaller than the sum of its proper divisors (307311323616).

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

102420014400 is a wasteful number, since it uses less digits than its factorization.

102420014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102420014400 its reverse (4410024201), we get a palindrome (106830038601).

It can be divided in two parts, 10242001 and 4400, that added together give a square (10246401 = 3201²).

The spelling of 102420014400 in words is "one hundred two billion, four hundred twenty million, fourteen thousand, four hundred".