46421276143200 has 576 divisors, whose sum is σ = 173355526536192. Its totient is φ = 10569557606400.

The previous prime is 46421276143183. The next prime is 46421276143387. The reversal of 46421276143200 is 234167212464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15265133680 + ... + 15265136720.

It is an arithmetic number, because the mean of its divisors is an integer number (300964455792).

Almost surely, 2^{46421276143200} is an apocalyptic number.

46421276143200 is a gapful number since it is divisible by the number (40) 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 46421276143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86677763268096).

46421276143200 is an abundant number, since it is smaller than the sum of its proper divisors (126934250392992).

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

46421276143200 is a wasteful number, since it uses less digits than its factorization.

46421276143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 46421276143200 in words is "forty-six trillion, four hundred twenty-one billion, two hundred seventy-six million, one hundred forty-three thousand, two hundred".