102404471400000 has 2688 divisors, whose sum is σ = 474162251673600. Its totient is φ = 21051187200000.

The previous prime is 102404471399957. The next prime is 102404471400017. The reversal of 102404471400000 is 4174404201.

102404471400000 is a `hidden beast` number, since 10 + 240 + 4 + 4 + 7 + 1 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40332598731 + ... + 40332601269.

It is an arithmetic number, because the mean of its divisors is an integer number (176399647200).

Almost surely, 2^{102404471400000} is an apocalyptic number.

102404471400000 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 102404471400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081125836800).

102404471400000 is an abundant number, since it is smaller than the sum of its proper divisors (371757780273600).

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

102404471400000 is an equidigital number, since it uses as much as digits as its factorization.

102404471400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 102404471400000 in words is "one hundred two trillion, four hundred four billion, four hundred seventy-one million, four hundred thousand".