10497263040 has 420 divisors, whose sum is σ = 41056075368. Its totient is φ = 2544030720.

The previous prime is 10497263039. The next prime is 10497263041. The reversal of 10497263040 is 4036279401.

10497263040 is a `hidden beast` number, since 10 + 4 + 9 + 7 + 2 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10497263039) and next prime (10497263041).

It is a super-2 number, since 2×10497263040² (a number of 21 digits) contains 22 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 = 10497262986 and 10497263004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497263041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3134647 + ... + 3137993.

Almost surely, 2^10497263040 is an apocalyptic number.

10497263040 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 10497263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528037684).

10497263040 is an abundant number, since it is smaller than the sum of its proper divisors (30558812328).

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

10497263040 is a wasteful number, since it uses less digits than its factorization.

10497263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10497263040 in words is "ten billion, four hundred ninety-seven million, two hundred sixty-three thousand, forty".