10217370240 has 768 divisors, whose sum is σ = 45963158400. Its totient is φ = 2121154560.

The previous prime is 10217370227. The next prime is 10217370287. The reversal of 10217370240 is 4207371201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313372 + ... + 9314468.

Almost surely, 2^10217370240 is an apocalyptic number.

10217370240 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 10217370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22981579200).

10217370240 is an abundant number, since it is smaller than the sum of its proper divisors (35745788160).

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

10217370240 is a wasteful number, since it uses less digits than its factorization.

10217370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10217370240 in words is "ten billion, two hundred seventeen million, three hundred seventy thousand, two hundred forty".