102381534541440 has 5120 divisors, whose sum is σ = 501280333931520. Its totient is φ = 19423706480640.

The previous prime is 102381534541427. The next prime is 102381534541459. The reversal of 102381534541440 is 44145435183201.

It is a happy number.

102381534541440 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 1 + 53 + 454 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 303802772952 + ... + 303802773288.

It is an arithmetic number, because the mean of its divisors is an integer number (97906315221).

Almost surely, 2^{102381534541440} is an apocalyptic number.

102381534541440 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 102381534541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250640166965760).

102381534541440 is an abundant number, since it is smaller than the sum of its proper divisors (398898799390080).

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

102381534541440 is a wasteful number, since it uses less digits than its factorization.

102381534541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 102381534541440 in words is "one hundred two trillion, three hundred eighty-one billion, five hundred thirty-four million, five hundred forty-one thousand, four hundred forty".