714954240000 has 3120 divisors, whose sum is σ = 3576683894784. Its totient is φ = 132710400000.

The previous prime is 714954239981. The next prime is 714954240001. The reversal of 714954240000 is 42459417.

It is a happy number.

714954240000 is a `hidden beast` number, since 71 + 4 + 9 + 542 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×714954240000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714954240001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23063039985 + ... + 23063040015.

Almost surely, 2^714954240000 is an apocalyptic number.

714954240000 is a gapful number since it is divisible by the number (70) 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 714954240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788341947392).

714954240000 is an abundant number, since it is smaller than the sum of its proper divisors (2861729654784).

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

714954240000 is a wasteful number, since it uses less digits than its factorization.

714954240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 714954240000 its reverse (42459417), we get a palindrome (714996699417).

The spelling of 714954240000 in words is "seven hundred fourteen billion, nine hundred fifty-four million, two hundred forty thousand".