10402320240 has 320 divisors, whose sum is σ = 39225406080. Its totient is φ = 2518179840.

The previous prime is 10402320223. The next prime is 10402320251. The reversal of 10402320240 is 4202320401.

10402320240 is a `hidden beast` number, since 1 + 0 + 402 + 3 + 20 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1709844 + ... + 1715916.

It is an arithmetic number, because the mean of its divisors is an integer number (122579394).

Almost surely, 2^10402320240 is an apocalyptic number.

10402320240 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 10402320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612703040).

10402320240 is an abundant number, since it is smaller than the sum of its proper divisors (28823085840).

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

10402320240 is a wasteful number, since it uses less digits than its factorization.

10402320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10402320240 its reverse (4202320401), we get a palindrome (14604640641).

The spelling of 10402320240 in words is "ten billion, four hundred two million, three hundred twenty thousand, two hundred forty".