1003402400000 has 1296 divisors, whose sum is σ = 3440406674880. Its totient is φ = 287078400000.

The previous prime is 1003402399997. The next prime is 1003402400017. The reversal of 1003402400000 is 42043001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5605599911 + ... + 5605600089.

It is an arithmetic number, because the mean of its divisors is an integer number (2654634780).

Almost surely, 2^{1003402400000} is an apocalyptic number.

1003402400000 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 1003402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720203337440).

1003402400000 is an abundant number, since it is smaller than the sum of its proper divisors (2437004274880).

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

1003402400000 is an equidigital number, since it uses as much as digits as its factorization.

1003402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 1003402400000 its reverse (42043001), we get a palindrome (1003444443001).

The spelling of 1003402400000 in words is "one trillion, three billion, four hundred two million, four hundred thousand".