10435901472 has 144 divisors (see below), whose sum is σ = 30252313728. Its totient is φ = 3411555840.

The previous prime is 10435901471. The next prime is 10435901477. The reversal of 10435901472 is 27410953401.

10435901472 is a `hidden beast` number, since 10 + 43 + 590 + 14 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10435901471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8133343 + ... + 8134625.

It is an arithmetic number, because the mean of its divisors is an integer number (210085512).

Almost surely, 2^10435901472 is an apocalyptic number.

10435901472 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 10435901472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126156864).

10435901472 is an abundant number, since it is smaller than the sum of its proper divisors (19816412256).

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

10435901472 is a wasteful number, since it uses less digits than its factorization.

10435901472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10435901472 in words is "ten billion, four hundred thirty-five million, nine hundred one thousand, four hundred seventy-two".