10402903368 has 288 divisors, whose sum is σ = 34438360320. Its totient is φ = 2815084800.

The previous prime is 10402903361. The next prime is 10402903397. The reversal of 10402903368 is 86330920401.

10402903368 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 290 + 3 + 368 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10402903361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3509455 + ... + 3512417.

It is an arithmetic number, because the mean of its divisors is an integer number (119577640).

Almost surely, 2^10402903368 is an apocalyptic number.

10402903368 is a gapful number since it is divisible by the number (18) 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 10402903368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219180160).

10402903368 is an abundant number, since it is smaller than the sum of its proper divisors (24035456952).

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

10402903368 is a wasteful number, since it uses less digits than its factorization.

10402903368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10402903368 in words is "ten billion, four hundred two million, nine hundred three thousand, three hundred sixty-eight".