1406113717248 has 440 divisors, whose sum is σ = 4347370520064. Its totient is φ = 452227276800.

The previous prime is 1406113717201. The next prime is 1406113717271. The reversal of 1406113717248 is 8427173116041.

1406113717248 is a `hidden beast` number, since 1 + 4 + 0 + 611 + 3 + 7 + 1 + 7 + 24 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1200779703 + ... + 1200780873.

Almost surely, 2^{1406113717248} is an apocalyptic number.

1406113717248 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 1406113717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173685260032).

1406113717248 is an abundant number, since it is smaller than the sum of its proper divisors (2941256802816).

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

1406113717248 is a wasteful number, since it uses less digits than its factorization.

1406113717248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1406113717248 in words is "one trillion, four hundred six billion, one hundred thirteen million, seven hundred seventeen thousand, two hundred forty-eight".