5341670400 has 264 divisors, whose sum is σ = 19262499264. Its totient is φ = 1294745600.

The previous prime is 5341670377. The next prime is 5341670447. The reversal of 5341670400 is 40761435.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841639 + ... + 847961.

Almost surely, 2^5341670400 is an apocalyptic number.

5341670400 is a gapful number since it is divisible by the number (50) 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 5341670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631249632).

5341670400 is an abundant number, since it is smaller than the sum of its proper divisors (13920828864).

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

5341670400 is a wasteful number, since it uses less digits than its factorization.

5341670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5341670400 is about 73086.7320380382. The cubic root of 5341670400 is about 1748.0708428333.

The spelling of 5341670400 in words is "five billion, three hundred forty-one million, six hundred seventy thousand, four hundred".