102414120014040 has 32 divisors (see below), whose sum is σ = 307242360042480. Its totient is φ = 27310432003712.

The previous prime is 102414120013999. The next prime is 102414120014071. The reversal of 102414120014040 is 40410021414201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102414120014040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426725499939 + ... + 426725500178.

Almost surely, 2^{102414120014040} is an apocalyptic number.

102414120014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414120014040 is an abundant number, since it is smaller than the sum of its proper divisors (204828240028440).

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

102414120014040 is a wasteful number, since it uses less digits than its factorization.

102414120014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853451000131 (or 853451000127 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102414120014040 its reverse (40410021414201), we get a palindrome (142824141428241).

The spelling of 102414120014040 in words is "one hundred two trillion, four hundred fourteen billion, one hundred twenty million, fourteen thousand, forty".