10357860240 has 480 divisors, whose sum is σ = 43222233600. Its totient is φ = 2164506624.

The previous prime is 10357860229. The next prime is 10357860259. The reversal of 10357860240 is 4206875301.

10357860240 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 7 + 8 + 602 + 40 = 666.

It is a super-3 number, since 3×10357860240³ (a number of 31 digits) contains 333 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 = 10357860195 and 10357860204.

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, 7403061 + ... + 7404459.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 2^10357860240 is an apocalyptic number.

10357860240 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 10357860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611116800).

10357860240 is an abundant number, since it is smaller than the sum of its proper divisors (32864373360).

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

10357860240 is a wasteful number, since it uses less digits than its factorization.

10357860240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10357860240 in words is "ten billion, three hundred fifty-seven million, eight hundred sixty thousand, two hundred forty".