1903408742400 has 768 divisors, whose sum is σ = 6921691358400. Its totient is φ = 457703424000.

The previous prime is 1903408742399. The next prime is 1903408742407. The reversal of 1903408742400 is 42478043091.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1903408742407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4893081406 + ... + 4893081794.

Almost surely, 2^{1903408742400} is an apocalyptic number.

1903408742400 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 1903408742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460845679200).

1903408742400 is an abundant number, since it is smaller than the sum of its proper divisors (5018282616000).

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

1903408742400 is a wasteful number, since it uses less digits than its factorization.

1903408742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 591 counting only the distinct ones).

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

The spelling of 1903408742400 in words is "one trillion, nine hundred three billion, four hundred eight million, seven hundred forty-two thousand, four hundred".