340215541200 has 480 divisors, whose sum is σ = 1227521433600. Its totient is φ = 89489088000.

The previous prime is 340215541177. The next prime is 340215541213. The reversal of 340215541200 is 2145512043.

340215541200 is a `hidden beast` number, since 3 + 402 + 1 + 5 + 54 + 1 + 200 = 666.

It is a super-2 number, since 2×340215541200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270226171 + ... + 270227429.

It is an arithmetic number, because the mean of its divisors is an integer number (2557336320).

Almost surely, 2^340215541200 is an apocalyptic number.

340215541200 is a gapful number since it is divisible by the number (30) 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 340215541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613760716800).

340215541200 is an abundant number, since it is smaller than the sum of its proper divisors (887305892400).

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

340215541200 is a wasteful number, since it uses less digits than its factorization.

340215541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

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

The spelling of 340215541200 in words is "three hundred forty billion, two hundred fifteen million, five hundred forty-one thousand, two hundred".