10345429440 has 336 divisors, whose sum is σ = 37932530688. Its totient is φ = 2581911552.

The previous prime is 10345429429. The next prime is 10345429459. The reversal of 10345429440 is 4492454301.

10345429440 is a `hidden beast` number, since 103 + 4 + 542 + 9 + 4 + 4 + 0 = 666.

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 = 10345429395 and 10345429404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3111619 + ... + 3114941.

Almost surely, 2^10345429440 is an apocalyptic number.

10345429440 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 10345429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966265344).

10345429440 is an abundant number, since it is smaller than the sum of its proper divisors (27587101248).

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

10345429440 is a wasteful number, since it uses less digits than its factorization.

10345429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10345429440 in words is "ten billion, three hundred forty-five million, four hundred twenty-nine thousand, four hundred forty".