1254216744480 has 192 divisors, whose sum is σ = 4532351459328. Its totient is φ = 285587880960.

The previous prime is 1254216744439. The next prime is 1254216744497. The reversal of 1254216744480 is 844476124521.

It is a super-2 number, since 2×1254216744480² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174025 + ... + 1593335.

It is an arithmetic number, because the mean of its divisors is an integer number (23605997184).

Almost surely, 2^{1254216744480} is an apocalyptic number.

1254216744480 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 1254216744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266175729664).

1254216744480 is an abundant number, since it is smaller than the sum of its proper divisors (3278134714848).

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

1254216744480 is a wasteful number, since it uses less digits than its factorization.

1254216744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419599 (or 1419591 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 1254216744480 in words is "one trillion, two hundred fifty-four billion, two hundred sixteen million, seven hundred forty-four thousand, four hundred eighty".