114721453440 has 640 divisors, whose sum is σ = 466420965120. Its totient is φ = 26599034880.

The previous prime is 114721453439. The next prime is 114721453499. The reversal of 114721453440 is 44354127411.

114721453440 is a `hidden beast` number, since 1 + 1 + 4 + 72 + 14 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×114721453440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114721453395 and 114721453404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13111147 + ... + 13119893.

It is an arithmetic number, because the mean of its divisors is an integer number (728782758).

Almost surely, 2^114721453440 is an apocalyptic number.

114721453440 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 114721453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233210482560).

114721453440 is an abundant number, since it is smaller than the sum of its proper divisors (351699511680).

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

114721453440 is a wasteful number, since it uses less digits than its factorization.

114721453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114721453440 in words is "one hundred fourteen billion, seven hundred twenty-one million, four hundred fifty-three thousand, four hundred forty".