10435740480 has 672 divisors, whose sum is σ = 41738336640. Its totient is φ = 2368880640.

The previous prime is 10435740473. The next prime is 10435740559. The reversal of 10435740480 is 8404753401.

10435740480 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 574 + 0 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33992487 + ... + 33992793.

It is an arithmetic number, because the mean of its divisors is an integer number (62110620).

Almost surely, 2^10435740480 is an apocalyptic number.

10435740480 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 10435740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869168320).

10435740480 is an abundant number, since it is smaller than the sum of its proper divisors (31302596160).

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

10435740480 is a wasteful number, since it uses less digits than its factorization.

10435740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10435740480 in words is "ten billion, four hundred thirty-five million, seven hundred forty thousand, four hundred eighty".