1400546442312 has 128 divisors (see below), whose sum is σ = 4097686320000. Its totient is φ = 442005527808.

The previous prime is 1400546442311. The next prime is 1400546442367. The reversal of 1400546442312 is 2132446450041.

1400546442312 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 4 + 644 + 2 + 3 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1400546442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6614014 + ... + 6822482.

It is an arithmetic number, because the mean of its divisors is an integer number (32013174375).

Almost surely, 2^{1400546442312} is an apocalyptic number.

1400546442312 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 1400546442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048843160000).

1400546442312 is an abundant number, since it is smaller than the sum of its proper divisors (2697139877688).

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

1400546442312 is a wasteful number, since it uses less digits than its factorization.

1400546442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210140 (or 210130 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1400546442312 in words is "one trillion, four hundred billion, five hundred forty-six million, four hundred forty-two thousand, three hundred twelve".