13954184375040 has 4608 divisors, whose sum is σ = 67513614336000. Its totient is φ = 2703868231680.

The previous prime is 13954184374981. The next prime is 13954184375059. The reversal of 13954184375040 is 4057348145931.

13954184375040 is a `hidden beast` number, since 1 + 3 + 9 + 54 + 1 + 84 + 3 + 7 + 504 + 0 = 666.

It is a super-2 number, since 2×13954184375040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 109875467457 + ... + 109875467583.

It is an arithmetic number, because the mean of its divisors is an integer number (14651392000).

Almost surely, 2^{13954184375040} is an apocalyptic number.

13954184375040 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 13954184375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33756807168000).

13954184375040 is an abundant number, since it is smaller than the sum of its proper divisors (53559429960960).

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

13954184375040 is a wasteful number, since it uses less digits than its factorization.

13954184375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 13954184375040 in words is "thirteen trillion, nine hundred fifty-four billion, one hundred eighty-four million, three hundred seventy-five thousand, forty".