10196353440 has 768 divisors, whose sum is σ = 45174205440. Its totient is φ = 2090188800.

The previous prime is 10196353423. The next prime is 10196353481. The reversal of 10196353440 is 4435369101.

10196353440 is a `hidden beast` number, since 1 + 0 + 19 + 635 + 3 + 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 = 10196353395 and 10196353404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14545090 + ... + 14545790.

It is an arithmetic number, because the mean of its divisors is an integer number (58820580).

Almost surely, 2^10196353440 is an apocalyptic number.

10196353440 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 10196353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

10196353440 is an abundant number, since it is smaller than the sum of its proper divisors (34977852000).

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

10196353440 is a wasteful number, since it uses less digits than its factorization.

10196353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 101963 and 53440, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 10196353440 in words is "ten billion, one hundred ninety-six million, three hundred fifty-three thousand, four hundred forty".