423344772400 has 480 divisors, whose sum is σ = 1173817370880. Its totient is φ = 145313280000.

The previous prime is 423344772377. The next prime is 423344772463. The reversal of 423344772400 is 4277443324.

It is a happy number.

It is a hoax number, since the sum of its digits (40) 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 (40).

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, 1378973047 + ... + 1378973353.

It is an arithmetic number, because the mean of its divisors is an integer number (2445452856).

Almost surely, 2^423344772400 is an apocalyptic number.

423344772400 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 423344772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586908685440).

423344772400 is an abundant number, since it is smaller than the sum of its proper divisors (750472598480).

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

423344772400 is a wasteful number, since it uses less digits than its factorization.

423344772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 423344772400 in words is "four hundred twenty-three billion, three hundred forty-four million, seven hundred seventy-two thousand, four hundred".