1417488680088 has 640 divisors, whose sum is σ = 4621360201920. Its totient is φ = 402032885760.

The previous prime is 1417488680081. The next prime is 1417488680107. The reversal of 1417488680088 is 8800868847141.

1417488680088 is a `hidden beast` number, since 1 + 4 + 17 + 488 + 68 + 0 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417488680081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2312379270 + ... + 2312379882.

Almost surely, 2^{1417488680088} is an apocalyptic number.

1417488680088 is a gapful number since it is divisible by the number (18) 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 1417488680088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310680100960).

1417488680088 is an abundant number, since it is smaller than the sum of its proper divisors (3203871521832).

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

1417488680088 is a wasteful number, since it uses less digits than its factorization.

1417488680088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 63.

The spelling of 1417488680088 in words is "one trillion, four hundred seventeen billion, four hundred eighty-eight million, six hundred eighty thousand, eighty-eight".