4078142640 has 640 divisors, whose sum is σ = 16808924160. Its totient is φ = 906992640.

The previous prime is 4078142639. The next prime is 4078142657. The reversal of 4078142640 is 462418704.

4078142640 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 1 + 4 + 2 + 640 = 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 = 4078142595 and 4078142604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25019199 + ... + 25019361.

It is an arithmetic number, because the mean of its divisors is an integer number (26263944).

Almost surely, 2^4078142640 is an apocalyptic number.

4078142640 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 4078142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404462080).

4078142640 is an abundant number, since it is smaller than the sum of its proper divisors (12730781520).

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

4078142640 is a wasteful number, since it uses less digits than its factorization.

4078142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4078142640 is about 63860.3369862703. The cubic root of 4078142640 is about 1597.6714356783.

The spelling of 4078142640 in words is "four billion, seventy-eight million, one hundred forty-two thousand, six hundred forty".