1440100736172 has 288 divisors, whose sum is σ = 4439299737600. Its totient is φ = 384478617600.

The previous prime is 1440100736147. The next prime is 1440100736219. The reversal of 1440100736172 is 2716370010441.

1440100736172 is a `hidden beast` number, since 1 + 440 + 10 + 0 + 7 + 36 + 172 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183658972 + ... + 183666812.

It is an arithmetic number, because the mean of its divisors is an integer number (15414235200).

Almost surely, 2^{1440100736172} is an apocalyptic number.

1440100736172 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 1440100736172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219649868800).

1440100736172 is an abundant number, since it is smaller than the sum of its proper divisors (2999199001428).

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

1440100736172 is a wasteful number, since it uses less digits than its factorization.

1440100736172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1440100736172 in words is "one trillion, four hundred forty billion, one hundred million, seven hundred thirty-six thousand, one hundred seventy-two".