10370282249040 has 320 divisors, whose sum is σ = 37984892239872. Its totient is φ = 2290301337600.

The previous prime is 10370282248993. The next prime is 10370282249069. The reversal of 10370282249040 is 4094228207301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10370282248983 and 10370282249001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33227959 + ... + 33538601.

Almost surely, 2^{10370282249040} is an apocalyptic number.

10370282249040 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 10370282249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992446119936).

10370282249040 is an abundant number, since it is smaller than the sum of its proper divisors (27614609990832).

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

10370282249040 is a wasteful number, since it uses less digits than its factorization.

10370282249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311338 (or 311332 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10370282249040 in words is "ten trillion, three hundred seventy billion, two hundred eighty-two million, two hundred forty-nine thousand, forty".