4019012640 has 480 divisors, whose sum is σ = 15060608640. Its totient is φ = 1007271936.

The previous prime is 4019012593. The next prime is 4019012689. The reversal of 4019012640 is 462109104.

4019012640 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 0 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28913691 + ... + 28913829.

It is an arithmetic number, because the mean of its divisors is an integer number (31376268).

Almost surely, 2^4019012640 is an apocalyptic number.

4019012640 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 4019012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530304320).

4019012640 is an abundant number, since it is smaller than the sum of its proper divisors (11041596000).

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

4019012640 is a wasteful number, since it uses less digits than its factorization.

4019012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4019012640 is about 63395.6831337907. The cubic root of 4019012640 is about 1589.9121346960.

The spelling of 4019012640 in words is "four billion, nineteen million, twelve thousand, six hundred forty".