1399400064 has 128 divisors (see below), whose sum is σ = 4182000000. Its totient is φ = 466373376.

The previous prime is 1399400053. The next prime is 1399400081. The reversal of 1399400064 is 4600049931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277437 + ... + 282435.

It is an arithmetic number, because the mean of its divisors is an integer number (32671875).

Almost surely, 2^1399400064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091000000).

1399400064 is an abundant number, since it is smaller than the sum of its proper divisors (2782599936).

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

1399400064 is an frugal number, since it uses more digits than its factorization.

1399400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1399400064 is about 37408.5560266632. The cubic root of 1399400064 is about 1118.5291235911.

Adding to 1399400064 its reverse (4600049931), we get a palindrome (5999449995).

The spelling of 1399400064 in words is "one billion, three hundred ninety-nine million, four hundred thousand, sixty-four".