73141464760420 has 96 divisors (see below), whose sum is σ = 177493487383296. Its totient is φ = 24798539712000.

The previous prime is 73141464760391. The next prime is 73141464760489. The reversal of 73141464760420 is 2406746414137.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8458719 + ... + 14759161.

It is an arithmetic number, because the mean of its divisors is an integer number (1848890493576).

Almost surely, 2^{73141464760420} is an apocalyptic number.

73141464760420 is a gapful number since it is divisible by the number (70) 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 73141464760420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88746743691648).

73141464760420 is an abundant number, since it is smaller than the sum of its proper divisors (104352022622876).

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

73141464760420 is a wasteful number, since it uses less digits than its factorization.

73141464760420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301381 (or 6301379 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 73141464760420 in words is "seventy-three trillion, one hundred forty-one billion, four hundred sixty-four million, seven hundred sixty thousand, four hundred twenty".