1417224881772 has 192 divisors, whose sum is σ = 4521557376000. Its totient is φ = 374642924544.

The previous prime is 1417224881767. The next prime is 1417224881773. The reversal of 1417224881772 is 2771884227141.

1417224881772 is a `hidden beast` number, since 14 + 1 + 72 + 2 + 488 + 17 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1417224881773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176247 + ... + 1692782.

It is an arithmetic number, because the mean of its divisors is an integer number (23549778000).

Almost surely, 2^{1417224881772} is an apocalyptic number.

1417224881772 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 1417224881772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260778688000).

1417224881772 is an abundant number, since it is smaller than the sum of its proper divisors (3104332494228).

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

1417224881772 is a wasteful number, since it uses less digits than its factorization.

1417224881772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869125 (or 1869117 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The spelling of 1417224881772 in words is "one trillion, four hundred seventeen billion, two hundred twenty-four million, eight hundred eighty-one thousand, seven hundred seventy-two".