10334764440 has 1152 divisors, whose sum is σ = 48804275520. Its totient is φ = 1857945600.

The previous prime is 10334764421. The next prime is 10334764459. The reversal of 10334764440 is 4446743301.

10334764440 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 7 + 644 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10334764421) and next prime (10334764459).

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 = 10334764395 and 10334764404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42882720 + ... + 42882960.

Almost surely, 2^10334764440 is an apocalyptic number.

10334764440 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 10334764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24402137760).

10334764440 is an abundant number, since it is smaller than the sum of its proper divisors (38469511080).

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

10334764440 is a wasteful number, since it uses less digits than its factorization.

10334764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 10334764440 in words is "ten billion, three hundred thirty-four million, seven hundred sixty-four thousand, four hundred forty".