1940244633600 has 1152 divisors, whose sum is σ = 7963810283520. Its totient is φ = 405775319040.

The previous prime is 1940244633599. The next prime is 1940244633637. The reversal of 1940244633600 is 63364420491.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1775154654 + ... + 1775155746.

It is an arithmetic number, because the mean of its divisors is an integer number (6913029760).

Almost surely, 2^{1940244633600} is an apocalyptic number.

1940244633600 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 1940244633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981905141760).

1940244633600 is an abundant number, since it is smaller than the sum of its proper divisors (6023565649920).

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

1940244633600 is a wasteful number, since it uses less digits than its factorization.

1940244633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 1940244633600 in words is "one trillion, nine hundred forty billion, two hundred forty-four million, six hundred thirty-three thousand, six hundred".