10380493440 has 448 divisors, whose sum is σ = 39198477600. Its totient is φ = 2620200960.

The previous prime is 10380493439. The next prime is 10380493457. The reversal of 10380493440 is 4439408301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10380493395 and 10380493404.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8864055 + ... + 8865225.

Almost surely, 2^10380493440 is an apocalyptic number.

10380493440 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 10380493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19599238800).

10380493440 is an abundant number, since it is smaller than the sum of its proper divisors (28817984160).

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

10380493440 is an equidigital number, since it uses as much as digits as its factorization.

10380493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10380493440 in words is "ten billion, three hundred eighty million, four hundred ninety-three thousand, four hundred forty".