10353695040 has 336 divisors, whose sum is σ = 38662880256. Its totient is φ = 2527948800.

The previous prime is 10353695029. The next prime is 10353695071. The reversal of 10353695040 is 4059635301.

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 = 10353694986 and 10353695004.

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, 4903585 + ... + 4905695.

It is an arithmetic number, because the mean of its divisors is an integer number (115068096).

Almost surely, 2^10353695040 is an apocalyptic number.

10353695040 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 10353695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331440128).

10353695040 is an abundant number, since it is smaller than the sum of its proper divisors (28309185216).

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

10353695040 is a wasteful number, since it uses less digits than its factorization.

10353695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10353695040 in words is "ten billion, three hundred fifty-three million, six hundred ninety-five thousand, forty".