14361954040 has 256 divisors, whose sum is σ = 39524474880. Its totient is φ = 4592609280.

The previous prime is 14361954017. The next prime is 14361954043. The reversal of 14361954040 is 4045916341.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14361954043) 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, 63268407 + ... + 63268633.

It is an arithmetic number, because the mean of its divisors is an integer number (154392480).

Almost surely, 2^14361954040 is an apocalyptic number.

14361954040 is a gapful number since it is divisible by the number (10) 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 14361954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762237440).

14361954040 is an abundant number, since it is smaller than the sum of its proper divisors (25162520840).

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

14361954040 is a wasteful number, since it uses less digits than its factorization.

14361954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 14361954040 in words is "fourteen billion, three hundred sixty-one million, nine hundred fifty-four thousand, forty".