102414997438000 has 240 divisors, whose sum is σ = 283927754799936. Its totient is φ = 35590368153600.

The previous prime is 102414997437953. The next prime is 102414997438003. The reversal of 102414997438000 is 834799414201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (102414997438003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3165852 + ... + 14657851.

Almost surely, 2^{102414997438000} is an apocalyptic number.

102414997438000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414997438000 is an abundant number, since it is smaller than the sum of its proper divisors (181512757361936).

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

102414997438000 is a wasteful number, since it uses less digits than its factorization.

102414997438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823769 (or 17823740 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 102414997438000 in words is "one hundred two trillion, four hundred fourteen billion, nine hundred ninety-seven million, four hundred thirty-eight thousand".