1894315463040 has 2048 divisors, whose sum is σ = 8430056570880. Its totient is φ = 349187604480.

The previous prime is 1894315463039. The next prime is 1894315463071. The reversal of 1894315463040 is 403645134981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6052125924 + ... + 6052126236.

It is an arithmetic number, because the mean of its divisors is an integer number (4116238560).

Almost surely, 2^{1894315463040} is an apocalyptic number.

1894315463040 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 1894315463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215028285440).

1894315463040 is an abundant number, since it is smaller than the sum of its proper divisors (6535741107840).

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

1894315463040 is a wasteful number, since it uses less digits than its factorization.

1894315463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1894315463040 in words is "one trillion, eight hundred ninety-four billion, three hundred fifteen million, four hundred sixty-three thousand, forty".