1201367233440 has 1152 divisors, whose sum is σ = 4796549581824. Its totient is φ = 281428992000.

The previous prime is 1201367233393. The next prime is 1201367233459. The reversal of 1201367233440 is 443327631021.

1201367233440 is a `hidden beast` number, since 1 + 20 + 1 + 367 + 233 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1201367233395 and 1201367233404.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2297069019 + ... + 2297069541.

It is an arithmetic number, because the mean of its divisors is an integer number (4163671512).

Almost surely, 2^{1201367233440} is an apocalyptic number.

1201367233440 is a gapful number since it is divisible by the number (10) 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 1201367233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398274790912).

1201367233440 is an abundant number, since it is smaller than the sum of its proper divisors (3595182348384).

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

1201367233440 is a wasteful number, since it uses less digits than its factorization.

1201367233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1201367233440 in words is "one trillion, two hundred one billion, three hundred sixty-seven million, two hundred thirty-three thousand, four hundred forty".