3514041743940 has 384 divisors, whose sum is σ = 13463200235520. Its totient is φ = 740998596096.

The previous prime is 3514041743939. The next prime is 3514041743941. The reversal of 3514041743940 is 493471404153.

It is a happy number.

3514041743940 is a `hidden beast` number, since 3 + 5 + 1 + 404 + 174 + 39 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3514041743939) and next prime (3514041743941).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3514041743941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89562607 + ... + 89601833.

It is an arithmetic number, because the mean of its divisors is an integer number (35060417280).

Almost surely, 2^{3514041743940} is an apocalyptic number.

3514041743940 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 3514041743940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731600117760).

3514041743940 is an abundant number, since it is smaller than the sum of its proper divisors (9949158491580).

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

3514041743940 is a wasteful number, since it uses less digits than its factorization.

3514041743940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41088 (or 41080 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3514041743940 in words is "three trillion, five hundred fourteen billion, forty-one million, seven hundred forty-three thousand, nine hundred forty".