341252078400 has 252 divisors, whose sum is σ = 1213405494444. Its totient is φ = 90961920000.

The previous prime is 341252078399. The next prime is 341252078423. The reversal of 341252078400 is 4870252143.

It is a happy number.

341252078400 is a `hidden beast` number, since 3 + 41 + 2 + 5 + 207 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4118558976 + 337133519424 = 64176^2 + 580632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54155250 + ... + 54161550.

Almost surely, 2^341252078400 is an apocalyptic number.

341252078400 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 341252078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606702747222).

341252078400 is an abundant number, since it is smaller than the sum of its proper divisors (872153416044).

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

341252078400 is a wasteful number, since it uses less digits than its factorization.

341252078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 341252078400 in words is "three hundred forty-one billion, two hundred fifty-two million, seventy-eight thousand, four hundred".