1400345006592 has 1280 divisors, whose sum is σ = 4977967104000. Its totient is φ = 340487110656.

The previous prime is 1400345006579. The next prime is 1400345006603. The reversal of 1400345006592 is 2956005430041.

It is a super-2 number, since 2×1400345006592² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1400345006592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5859184009 + ... + 5859184247.

It is an arithmetic number, because the mean of its divisors is an integer number (3889036800).

Almost surely, 2^{1400345006592} is an apocalyptic number.

1400345006592 is a gapful number since it is divisible by the number (12) 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 1400345006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488983552000).

1400345006592 is an abundant number, since it is smaller than the sum of its proper divisors (3577622097408).

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

1400345006592 is a wasteful number, since it uses less digits than its factorization.

1400345006592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1400345006592 in words is "one trillion, four hundred billion, three hundred forty-five million, six thousand, five hundred ninety-two".