10460690240 has 672 divisors, whose sum is σ = 35842431744. Its totient is φ = 2807562240.

The previous prime is 10460690239. The next prime is 10460690287. The reversal of 10460690240 is 4209606401.

Added to its reverse (4209606401) it gives a square (14670296641 = 121121²).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10460690197 and 10460690206.

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, 92572424 + ... + 92572536.

It is an arithmetic number, because the mean of its divisors is an integer number (53336952).

Almost surely, 2^10460690240 is an apocalyptic number.

10460690240 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 10460690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921215872).

10460690240 is an abundant number, since it is smaller than the sum of its proper divisors (25381741504).

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

10460690240 is a wasteful number, since it uses less digits than its factorization.

10460690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 10460690240 its reverse (4209606401), we get a square (14670296641 = 121121²).

The spelling of 10460690240 in words is "ten billion, four hundred sixty million, six hundred ninety thousand, two hundred forty".