1418757564480 has 168 divisors, whose sum is σ = 4629594691008. Its totient is φ = 368109729792.

The previous prime is 1418757564463. The next prime is 1418757564529. The reversal of 1418757564480 is 844657578141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774477 + ... + 1854003.

It is an arithmetic number, because the mean of its divisors is an integer number (27557111256).

Almost surely, 2^{1418757564480} is an apocalyptic number.

1418757564480 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 1418757564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314797345504).

1418757564480 is an abundant number, since it is smaller than the sum of its proper divisors (3210837126528).

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

1418757564480 is a wasteful number, since it uses less digits than its factorization.

1418757564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079621 (or 1079574 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 1418757564480 in words is "one trillion, four hundred eighteen billion, seven hundred fifty-seven million, five hundred sixty-four thousand, four hundred eighty".