1114408696320 has 960 divisors, whose sum is σ = 4319727984000. Its totient is φ = 271557328896.

The previous prime is 1114408696319. The next prime is 1114408696321. The reversal of 1114408696320 is 236968044111.

1114408696320 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 0 + 8 + 6 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1114408696319) and next prime (1114408696321).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1114408696321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1104467976 + ... + 1104468984.

It is an arithmetic number, because the mean of its divisors is an integer number (4499716650).

Almost surely, 2^{1114408696320} is an apocalyptic number.

1114408696320 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 1114408696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159863992000).

1114408696320 is an abundant number, since it is smaller than the sum of its proper divisors (3205319287680).

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

1114408696320 is a wasteful number, since it uses less digits than its factorization.

1114408696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1114408696320 in words is "one trillion, one hundred fourteen billion, four hundred eight million, six hundred ninety-six thousand, three hundred twenty".