10081482240 has 160 divisors (see below), whose sum is σ = 32285585376. Its totient is φ = 2683699200.

The previous prime is 10081482223. The next prime is 10081482253. The reversal of 10081482240 is 4228418001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10081482198 and 10081482207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8393640 + ... + 8394840.

Almost surely, 2^10081482240 is an apocalyptic number.

10081482240 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 10081482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142792688).

10081482240 is an abundant number, since it is smaller than the sum of its proper divisors (22204103136).

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

10081482240 is a wasteful number, since it uses less digits than its factorization.

10081482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 10081482240 in words is "ten billion, eighty-one million, four hundred eighty-two thousand, two hundred forty".