3900819565440 has 1920 divisors, whose sum is σ = 16848737579520. Its totient is φ = 856907735040.

The previous prime is 3900819565411. The next prime is 3900819565457. The reversal of 3900819565440 is 445659180093.

3900819565440 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 8 + 1 + 95 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7755108229 + ... + 7755108731.

It is an arithmetic number, because the mean of its divisors is an integer number (8775384156).

Almost surely, 2^{3900819565440} is an apocalyptic number.

3900819565440 is a gapful number since it is divisible by the number (30) 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 3900819565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424368789760).

3900819565440 is an abundant number, since it is smaller than the sum of its proper divisors (12947918014080).

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

3900819565440 is a wasteful number, since it uses less digits than its factorization.

3900819565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3900819565440 in words is "three trillion, nine hundred billion, eight hundred nineteen million, five hundred sixty-five thousand, four hundred forty".