10001514240 has 216 divisors, whose sum is σ = 34944305760. Its totient is φ = 2640863232.

The previous prime is 10001514227. The next prime is 10001514251. The reversal of 10001514240 is 4241510001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1182346 + ... + 1190774.

Almost surely, 2^10001514240 is an apocalyptic number.

10001514240 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 10001514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472152880).

10001514240 is an abundant number, since it is smaller than the sum of its proper divisors (24942791520).

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

10001514240 is a wasteful number, since it uses less digits than its factorization.

10001514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8559 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10001514240 in words is "ten billion, one million, five hundred fourteen thousand, two hundred forty".