102414030400 has 336 divisors, whose sum is σ = 285133036032. Its totient is φ = 35868672000.

The previous prime is 102414030371. The next prime is 102414030463. The reversal of 102414030400 is 4030414201.

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, 183866922 + ... + 183867478.

Almost surely, 2^102414030400 is an apocalyptic number.

102414030400 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 102414030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142566518016).

102414030400 is an abundant number, since it is smaller than the sum of its proper divisors (182719005632).

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

102414030400 is a wasteful number, since it uses less digits than its factorization.

102414030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102414030400 its reverse (4030414201), we get a palindrome (106444444601).

The spelling of 102414030400 in words is "one hundred two billion, four hundred fourteen million, thirty thousand, four hundred".