3914299217040 has 320 divisors, whose sum is σ = 13525405318656. Its totient is φ = 931380330496.

The previous prime is 3914299217039. The next prime is 3914299217041. The reversal of 3914299217040 is 407129924193.

It is an interprime number because it is at equal distance from previous prime (3914299217039) and next prime (3914299217041).

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

It is not an unprimeable number, because it can be changed into a prime (3914299217041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10419352 + ... + 10788488.

Almost surely, 2^{3914299217040} is an apocalyptic number.

3914299217040 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 3914299217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762702659328).

3914299217040 is an abundant number, since it is smaller than the sum of its proper divisors (9611106101616).

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

3914299217040 is a wasteful number, since it uses less digits than its factorization.

3914299217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369306 (or 369300 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 3914299217040 in words is "three trillion, nine hundred fourteen billion, two hundred ninety-nine million, two hundred seventeen thousand, forty".