102602249534400 has 2688 divisors, whose sum is σ = 460681157376000. Its totient is φ = 19339621171200.

The previous prime is 102602249534399. The next prime is 102602249534401. The reversal of 102602249534400 is 4435942206201.

It is an interprime number because it is at equal distance from previous prime (102602249534399) and next prime (102602249534401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102602249534401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25340143576 + ... + 25340147624.

Almost surely, 2^{102602249534400} is an apocalyptic number.

102602249534400 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 102602249534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230340578688000).

102602249534400 is an abundant number, since it is smaller than the sum of its proper divisors (358078907841600).

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

102602249534400 is a wasteful number, since it uses less digits than its factorization.

102602249534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 102602249534400 in words is "one hundred two trillion, six hundred two billion, two hundred forty-nine million, five hundred thirty-four thousand, four hundred".