4350015140400 has 360 divisors, whose sum is σ = 15457805178816. Its totient is φ = 1132221888000.

The previous prime is 4350015140363. The next prime is 4350015140459. The reversal of 4350015140400 is 40415100534.

It is a happy number.

4350015140400 is a `hidden beast` number, since 4 + 3 + 500 + 15 + 140 + 4 + 0 + 0 = 666.

4350015140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235751175 + ... + 235769625.

Almost surely, 2^{4350015140400} is an apocalyptic number.

4350015140400 is a gapful number since it is divisible by the number (40) 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 4350015140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728902589408).

4350015140400 is an abundant number, since it is smaller than the sum of its proper divisors (11107790038416).

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

4350015140400 is a wasteful number, since it uses less digits than its factorization.

4350015140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20027 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 4350015140400 in words is "four trillion, three hundred fifty billion, fifteen million, one hundred forty thousand, four hundred".