102409035402240 has 2464 divisors, whose sum is σ = 437218234527744. Its totient is φ = 22512408330240.

The previous prime is 102409035402227. The next prime is 102409035402263. The reversal of 102409035402240 is 42204530904201.

It is a happy number.

102409035402240 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 9 + 0 + 3 + 5 + 402 + 240 = 666.

It is a super-2 number, since 2×102409035402240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102409035402195 and 102409035402204.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 183858232042 + ... + 183858232598.

Almost surely, 2^{102409035402240} is an apocalyptic number.

102409035402240 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 102409035402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218609117263872).

102409035402240 is an abundant number, since it is smaller than the sum of its proper divisors (334809199125504).

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

102409035402240 is an equidigital number, since it uses as much as digits as its factorization.

102409035402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 102409035402240 in words is "one hundred two trillion, four hundred nine billion, thirty-five million, four hundred two thousand, two hundred forty".