1400323192464 has 480 divisors, whose sum is σ = 4489816383360. Its totient is φ = 373911552000.

The previous prime is 1400323192441. The next prime is 1400323192469. The reversal of 1400323192464 is 4642913230041.

It is a happy number.

It is a super-3 number, since 3×1400323192464³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400323192469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2080717632 + ... + 2080718304.

It is an arithmetic number, because the mean of its divisors is an integer number (9353784132).

Almost surely, 2^{1400323192464} is an apocalyptic number.

1400323192464 is a gapful number since it is divisible by the number (14) 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 1400323192464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244908191680).

1400323192464 is an abundant number, since it is smaller than the sum of its proper divisors (3089493190896).

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

1400323192464 is a wasteful number, since it uses less digits than its factorization.

1400323192464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 1400323192464 in words is "one trillion, four hundred billion, three hundred twenty-three million, one hundred ninety-two thousand, four hundred sixty-four".