2014074406480 has 80 divisors (see below), whose sum is σ = 4734315984384. Its totient is φ = 796796974080.

The previous prime is 2014074406469. The next prime is 2014074406501. The reversal of 2014074406480 is 846044704102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2014074406480³ (a number of 38 digits) contains 333 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631109 + ... + 3309211.

Almost surely, 2^{2014074406480} is an apocalyptic number.

2014074406480 is a gapful number since it is divisible by the number (20) 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 2014074406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367157992192).

2014074406480 is an abundant number, since it is smaller than the sum of its proper divisors (2720241577904).

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

2014074406480 is a wasteful number, since it uses less digits than its factorization.

2014074406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678524 (or 678518 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 2014074406480 in words is "two trillion, fourteen billion, seventy-four million, four hundred six thousand, four hundred eighty".