10368962250240 has 320 divisors, whose sum is σ = 36168303866112. Its totient is φ = 2513232691200.

The previous prime is 10368962250221. The next prime is 10368962250287. The reversal of 10368962250240 is 4205226986301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10368962250240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866167455 + ... + 866179425.

Almost surely, 2^{10368962250240} is an apocalyptic number.

10368962250240 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 10368962250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084151933056).

10368962250240 is an abundant number, since it is smaller than the sum of its proper divisors (25799341615872).

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

10368962250240 is a wasteful number, since it uses less digits than its factorization.

10368962250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22261 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10368962250240 in words is "ten trillion, three hundred sixty-eight billion, nine hundred sixty-two million, two hundred fifty thousand, two hundred forty".