6407012040 has 512 divisors, whose sum is σ = 24375859200. Its totient is φ = 1323786240.

The previous prime is 6407012033. The next prime is 6407012047. The reversal of 6407012040 is 402107046.

It is an interprime number because it is at equal distance from previous prime (6407012033) and next prime (6407012047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6407012040.

It is not an unprimeable number, because it can be changed into a prime (6407012047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14019492 + ... + 14019948.

It is an arithmetic number, because the mean of its divisors is an integer number (47609100).

Almost surely, 2^6407012040 is an apocalyptic number.

6407012040 is a gapful number since it is divisible by the number (60) 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 6407012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187929600).

6407012040 is an abundant number, since it is smaller than the sum of its proper divisors (17968847160).

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

6407012040 is a wasteful number, since it uses less digits than its factorization.

6407012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6407012040 is about 80043.8132524932. The cubic root of 6407012040 is about 1857.3133485970.

Adding to 6407012040 its reverse (402107046), we get a palindrome (6809119086).

The spelling of 6407012040 in words is "six billion, four hundred seven million, twelve thousand, forty".