730011416400 has 360 divisors, whose sum is σ = 3021131218560. Its totient is φ = 159604853760.

The previous prime is 730011416399. The next prime is 730011416401. The reversal of 730011416400 is 4614110037.

It is a happy number.

730011416400 is a `hidden beast` number, since 7 + 3 + 0 + 0 + 1 + 14 + 1 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (730011416399) and next prime (730011416401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730011416401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50155 + ... + 1209354.

Almost surely, 2^730011416400 is an apocalyptic number.

730011416400 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 730011416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510565609280).

730011416400 is an abundant number, since it is smaller than the sum of its proper divisors (2291119802160).

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

730011416400 is a wasteful number, since it uses less digits than its factorization.

730011416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259563 (or 1259549 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 730011416400 its reverse (4614110037), we get a palindrome (734625526437).

It can be divided in two parts, 730011 and 416400, that added together give a palindrome (1146411).

The spelling of 730011416400 in words is "seven hundred thirty billion, eleven million, four hundred sixteen thousand, four hundred".