4014743040 has 960 divisors, whose sum is σ = 18139410432. Its totient is φ = 796262400.

The previous prime is 4014743039. The next prime is 4014743063. The reversal of 4014743040 is 403474104.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4014743040² = 32236323354456883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014742995 and 4014743013.

It is a congruent number.

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, 54996444 + ... + 54996516.

Almost surely, 2^4014743040 is an apocalyptic number.

4014743040 is a gapful number since it is divisible by the number (40) 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 4014743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069705216).

4014743040 is an abundant number, since it is smaller than the sum of its proper divisors (14124667392).

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

4014743040 is a wasteful number, since it uses less digits than its factorization.

4014743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4014743040 is about 63361.9999684353. Note that the first 4 decimals coincide. The cubic root of 4014743040 is about 1589.3489205664.

The spelling of 4014743040 in words is "four billion, fourteen million, seven hundred forty-three thousand, forty".