6401457840 has 160 divisors (see below), whose sum is σ = 20528971776. Its totient is φ = 1648419840.

The previous prime is 6401457833. The next prime is 6401457841. The reversal of 6401457840 is 487541046.

It is not an unprimeable number, because it can be changed into a prime (6401457841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6420222 + ... + 6421218.

Almost surely, 2^6401457840 is an apocalyptic number.

6401457840 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 6401457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264485888).

6401457840 is an abundant number, since it is smaller than the sum of its proper divisors (14127513936).

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

6401457840 is a wasteful number, since it uses less digits than its factorization.

6401457840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 6401457840 is about 80009.1109811876. The cubic root of 6401457840 is about 1856.7764955314.

Adding to 6401457840 its reverse (487541046), we get a palindrome (6888998886).

The spelling of 6401457840 in words is "six billion, four hundred one million, four hundred fifty-seven thousand, eight hundred forty".