3890040153440 has 576 divisors, whose sum is σ = 11449096243200. Its totient is φ = 1243174625280.

The previous prime is 3890040153407. The next prime is 3890040153449. The reversal of 3890040153440 is 443510400983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890040153449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762900011 + ... + 762905109.

It is an arithmetic number, because the mean of its divisors is an integer number (19876903200).

Almost surely, 2^{3890040153440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890040153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724548121600).

3890040153440 is an abundant number, since it is smaller than the sum of its proper divisors (7559056089760).

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

3890040153440 is a wasteful number, since it uses less digits than its factorization.

3890040153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 3890040153440 in words is "three trillion, eight hundred ninety billion, forty million, one hundred fifty-three thousand, four hundred forty".