10400435352 has 96 divisors (see below), whose sum is σ = 28397940480. Its totient is φ = 3438590400.

The previous prime is 10400435333. The next prime is 10400435377. The reversal of 10400435352 is 25353400401.

It is a super-2 number, since 2×10400435352² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9895227 + ... + 9896277.

It is an arithmetic number, because the mean of its divisors is an integer number (295811880).

Almost surely, 2^10400435352 is an apocalyptic number.

10400435352 is a gapful number since it is divisible by the number (12) 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 10400435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198970240).

10400435352 is an abundant number, since it is smaller than the sum of its proper divisors (17997505128).

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

10400435352 is a wasteful number, since it uses less digits than its factorization.

10400435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10400435352 its reverse (25353400401), we get a palindrome (35753835753).

The spelling of 10400435352 in words is "ten billion, four hundred million, four hundred thirty-five thousand, three hundred fifty-two".