14035940781408 has 864 divisors, whose sum is σ = 50199058990080. Its totient is φ = 3642079334400.

The previous prime is 14035940781349. The next prime is 14035940781433. The reversal of 14035940781408 is 80418704953041.

14035940781408 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 594 + 0 + 7 + 8 + 1 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5607645885 + ... + 5607648387.

It is an arithmetic number, because the mean of its divisors is an integer number (58100762720).

Almost surely, 2^{14035940781408} is an apocalyptic number.

14035940781408 is a gapful number since it is divisible by the number (18) 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 14035940781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099529495040).

14035940781408 is an abundant number, since it is smaller than the sum of its proper divisors (36163118208672).

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

14035940781408 is a wasteful number, since it uses less digits than its factorization.

14035940781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14035940781408 in words is "fourteen trillion, thirty-five billion, nine hundred forty million, seven hundred eighty-one thousand, four hundred eight".