10402416640 has 384 divisors, whose sum is σ = 31701196800. Its totient is φ = 3182100480.

The previous prime is 10402416623. The next prime is 10402416649. The reversal of 10402416640 is 4661420401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10402416599 and 10402416608.

It is not an unprimeable number, because it can be changed into a prime (10402416649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62289837 + ... + 62290003.

It is an arithmetic number, because the mean of its divisors is an integer number (82555200).

Almost surely, 2^10402416640 is an apocalyptic number.

10402416640 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 10402416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400).

10402416640 is an abundant number, since it is smaller than the sum of its proper divisors (21298780160).

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

10402416640 is a wasteful number, since it uses less digits than its factorization.

10402416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10402416640 in words is "ten billion, four hundred two million, four hundred sixteen thousand, six hundred forty".