1902195406944 has 576 divisors, whose sum is σ = 6556758534144. Its totient is φ = 511365685248.

The previous prime is 1902195406931. The next prime is 1902195407009. The reversal of 1902195406944 is 4496045912091.

1902195406944 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 1 + 9 + 540 + 6 + 94 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2460795742 + ... + 2460796514.

It is an arithmetic number, because the mean of its divisors is an integer number (11383261344).

Almost surely, 2^{1902195406944} is an apocalyptic number.

1902195406944 is a gapful number since it is divisible by the number (14) 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 1902195406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278379267072).

1902195406944 is an abundant number, since it is smaller than the sum of its proper divisors (4654563127200).

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

1902195406944 is a wasteful number, since it uses less digits than its factorization.

1902195406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1902195406944 in words is "one trillion, nine hundred two billion, one hundred ninety-five million, four hundred six thousand, nine hundred forty-four".