14021553601440 has 576 divisors, whose sum is σ = 62249058772992. Its totient is φ = 2786892134400.

The previous prime is 14021553601411. The next prime is 14021553601547. The reversal of 14021553601440 is 4410635512041.

14021553601440 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 5 + 5 + 3 + 601 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14021553601395 and 14021553601404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198826 + ... + 5299305.

It is an arithmetic number, because the mean of its divisors is an integer number (108071282592).

Almost surely, 2^{14021553601440} is an apocalyptic number.

14021553601440 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 14021553601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31124529386496).

14021553601440 is an abundant number, since it is smaller than the sum of its proper divisors (48227505171552).

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

14021553601440 is a wasteful number, since it uses less digits than its factorization.

14021553601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498193 (or 5498182 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14021553601440 in words is "fourteen trillion, twenty-one billion, five hundred fifty-three million, six hundred one thousand, four hundred forty".