10348103869440 has 1408 divisors, whose sum is σ = 38738457722880. Its totient is φ = 2339949772800.

The previous prime is 10348103869429. The next prime is 10348103869463. The reversal of 10348103869440 is 4496830184301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 9381779929 + ... + 9381781031.

Almost surely, 2^{10348103869440} is an apocalyptic number.

10348103869440 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 10348103869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369228861440).

10348103869440 is an abundant number, since it is smaller than the sum of its proper divisors (28390353853440).

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

10348103869440 is a wasteful number, since it uses less digits than its factorization.

10348103869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 10348103869440 in words is "ten trillion, three hundred forty-eight billion, one hundred three million, eight hundred sixty-nine thousand, four hundred forty".