46223001420400 has 360 divisors, whose sum is σ = 129806224307424. Its totient is φ = 15771429273600.

The previous prime is 46223001420391. The next prime is 46223001420443. The reversal of 46223001420400 is 402410032264.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3604688389 + ... + 3604701211.

Almost surely, 2^{46223001420400} is an apocalyptic number.

46223001420400 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 46223001420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64903112153712).

46223001420400 is an abundant number, since it is smaller than the sum of its proper divisors (83583222887024).

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

46223001420400 is a wasteful number, since it uses less digits than its factorization.

46223001420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 46223001420400 its reverse (402410032264), we get a palindrome (46625411452664).

The spelling of 46223001420400 in words is "forty-six trillion, two hundred twenty-three billion, one million, four hundred twenty thousand, four hundred".