213943829040 has 560 divisors, whose sum is σ = 815247749376. Its totient is φ = 51956121600.

The previous prime is 213943829027. The next prime is 213943829041. The reversal of 213943829040 is 40928349312.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213943829041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30731160 + ... + 30738120.

Almost surely, 2^213943829040 is an apocalyptic number.

213943829040 is a gapful number since it is divisible by the number (20) 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 213943829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407623874688).

213943829040 is an abundant number, since it is smaller than the sum of its proper divisors (601303920336).

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

213943829040 is a wasteful number, since it uses less digits than its factorization.

213943829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 213943829040 in words is "two hundred thirteen billion, nine hundred forty-three million, eight hundred twenty-nine thousand, forty".