3925632190440 has 256 divisors, whose sum is σ = 11966562708480. Its totient is φ = 1030137937920.

The previous prime is 3925632190409. The next prime is 3925632190471. The reversal of 3925632190440 is 440912365293.

It is an interprime number because it is at equal distance from previous prime (3925632190409) and next prime (3925632190471).

It is a self number, because there is not a number n which added to its sum of digits gives 3925632190440.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1150198174 + ... + 1150201586.

It is an arithmetic number, because the mean of its divisors is an integer number (46744385580).

Almost surely, 2^{3925632190440} is an apocalyptic number.

3925632190440 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 3925632190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983281354240).

3925632190440 is an abundant number, since it is smaller than the sum of its proper divisors (8040930518040).

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

3925632190440 is a wasteful number, since it uses less digits than its factorization.

3925632190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3925632190440 in words is "three trillion, nine hundred twenty-five billion, six hundred thirty-two million, one hundred ninety thousand, four hundred forty".