13914001920 has 640 divisors, whose sum is σ = 56140406784. Its totient is φ = 2861236224.

The previous prime is 13914001879. The next prime is 13914001921. The reversal of 13914001920 is 2910041931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×13914001920³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13914001921) 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, 30051609 + ... + 30052071.

Almost surely, 2^13914001920 is an apocalyptic number.

13914001920 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 13914001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28070203392).

13914001920 is an abundant number, since it is smaller than the sum of its proper divisors (42226404864).

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

13914001920 is a wasteful number, since it uses less digits than its factorization.

13914001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 13914001920 in words is "thirteen billion, nine hundred fourteen million, one thousand, nine hundred twenty".