102672919440 has 640 divisors, whose sum is σ = 437355340800. Its totient is φ = 21558804480.

The previous prime is 102672919423. The next prime is 102672919469. The reversal of 102672919440 is 44919276201.

102672919440 is a `hidden beast` number, since 10 + 267 + 291 + 94 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 45011100 + ... + 45013380.

It is an arithmetic number, because the mean of its divisors is an integer number (683367720).

Almost surely, 2^102672919440 is an apocalyptic number.

102672919440 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 102672919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218677670400).

102672919440 is an abundant number, since it is smaller than the sum of its proper divisors (334682421360).

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

102672919440 is a wasteful number, since it uses less digits than its factorization.

102672919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102672919440 in words is "one hundred two billion, six hundred seventy-two million, nine hundred nineteen thousand, four hundred forty".