4202014040 has 128 divisors (see below), whose sum is σ = 11186380800. Its totient is φ = 1390141440.

The previous prime is 4202014021. The next prime is 4202014067. The reversal of 4202014040 is 404102024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007941 + ... + 5008779.

It is an arithmetic number, because the mean of its divisors is an integer number (87393600).

Almost surely, 2^4202014040 is an apocalyptic number.

4202014040 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 4202014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

4202014040 is an abundant number, since it is smaller than the sum of its proper divisors (6984366760).

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

4202014040 is a wasteful number, since it uses less digits than its factorization.

4202014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4202014040 is about 64822.9437776471. The cubic root of 4202014040 is about 1613.6865024176.

Adding to 4202014040 its reverse (404102024), we get a palindrome (4606116064).

The spelling of 4202014040 in words is "four billion, two hundred two million, fourteen thousand, forty".