1400724211068 has 384 divisors, whose sum is σ = 4584104448000. Its totient is φ = 359975301120.

The previous prime is 1400724211067. The next prime is 1400724211121. The reversal of 1400724211068 is 8601124270041.

It is a happy number.

1400724211068 is a `hidden beast` number, since 1 + 400 + 7 + 242 + 1 + 1 + 0 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400724211067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454926753 + ... + 454929831.

It is an arithmetic number, because the mean of its divisors is an integer number (11937772000).

Almost surely, 2^{1400724211068} is an apocalyptic number.

1400724211068 is a gapful number since it is divisible by the number (18) 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 1400724211068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292052224000).

1400724211068 is an abundant number, since it is smaller than the sum of its proper divisors (3183380236932).

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

1400724211068 is a wasteful number, since it uses less digits than its factorization.

1400724211068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1400724211068 in words is "one trillion, four hundred billion, seven hundred twenty-four million, two hundred eleven thousand, sixty-eight".