3914904693120 has 512 divisors, whose sum is σ = 13726034703360. Its totient is φ = 945074995200.

The previous prime is 3914904693107. The next prime is 3914904693131. The reversal of 3914904693120 is 213964094193.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94994439 + ... + 95035641.

It is an arithmetic number, because the mean of its divisors is an integer number (26808661530).

Almost surely, 2^{3914904693120} is an apocalyptic number.

3914904693120 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 3914904693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863017351680).

3914904693120 is an abundant number, since it is smaller than the sum of its proper divisors (9811130010240).

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

3914904693120 is a wasteful number, since it uses less digits than its factorization.

3914904693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41354 (or 41342 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 3914904693120 in words is "three trillion, nine hundred fourteen billion, nine hundred four million, six hundred ninety-three thousand, one hundred twenty".