13945149400 has 384 divisors, whose sum is σ = 41467345920. Its totient is φ = 4244244480.

The previous prime is 13945149397. The next prime is 13945149469. The reversal of 13945149400 is 494154931.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80607714 + ... + 80607886.

It is an arithmetic number, because the mean of its divisors is an integer number (107987880).

Almost surely, 2^13945149400 is an apocalyptic number.

13945149400 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 13945149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733672960).

13945149400 is an abundant number, since it is smaller than the sum of its proper divisors (27522196520).

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

13945149400 is a wasteful number, since it uses less digits than its factorization.

13945149400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 13945149400 in words is "thirteen billion, nine hundred forty-five million, one hundred forty-nine thousand, four hundred".