102042460541952 has 528 divisors, whose sum is σ = 343527739656192. Its totient is φ = 28572019015680.

The previous prime is 102042460541951. The next prime is 102042460541977. The reversal of 102042460541952 is 259145064240201.

102042460541952 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 24 + 605 + 4 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102042460541898 and 102042460541907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042460541951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764852083 + ... + 764985485.

Almost surely, 2^{102042460541952} is an apocalyptic number.

102042460541952 is a gapful number since it is divisible by the number (12) 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 102042460541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171763869828096).

102042460541952 is an abundant number, since it is smaller than the sum of its proper divisors (241485279114240).

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

102042460541952 is a wasteful number, since it uses less digits than its factorization.

102042460541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133674 (or 133653 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 102042460541952 in words is "one hundred two trillion, forty-two billion, four hundred sixty million, five hundred forty-one thousand, nine hundred fifty-two".