10382970978240 has 896 divisors, whose sum is σ = 40474210387968. Its totient is φ = 2201223168000.

The previous prime is 10382970978187. The next prime is 10382970978271. The reversal of 10382970978240 is 4287907928301.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 2781399414 + ... + 2781403146.

It is an arithmetic number, because the mean of its divisors is an integer number (45172109808).

Almost surely, 2^{10382970978240} is an apocalyptic number.

10382970978240 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 10382970978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237105193984).

10382970978240 is an abundant number, since it is smaller than the sum of its proper divisors (30091239409728).

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

10382970978240 is a wasteful number, since it uses less digits than its factorization.

10382970978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 10382970978240 in words is "ten trillion, three hundred eighty-two billion, nine hundred seventy million, nine hundred seventy-eight thousand, two hundred forty".