73461225380400 has 2400 divisors, whose sum is σ = 318687068722176. Its totient is φ = 15967549440000.

The previous prime is 73461225380393. The next prime is 73461225380419. The reversal of 73461225380400 is 408352216437.

73461225380400 is a `hidden beast` number, since 7 + 3 + 4 + 6 + 1 + 225 + 380 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 51479484487 + ... + 51479485913.

Almost surely, 2^{73461225380400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73461225380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159343534361088).

73461225380400 is an abundant number, since it is smaller than the sum of its proper divisors (245225843341776).

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

73461225380400 is a wasteful number, since it uses less digits than its factorization.

73461225380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 73461225380400 its reverse (408352216437), we get a palindrome (73869577596837).

The spelling of 73461225380400 in words is "seventy-three trillion, four hundred sixty-one billion, two hundred twenty-five million, three hundred eighty thousand, four hundred".