434133619920 has 3200 divisors, whose sum is σ = 2230129262592. Its totient is φ = 75246796800.

The previous prime is 434133619919. The next prime is 434133619943. The reversal of 434133619920 is 29916331434.

It is a happy number.

434133619920 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 3 + 3 + 619 + 9 + 20 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3418374897 + ... + 3418375023.

Almost surely, 2^434133619920 is an apocalyptic number.

434133619920 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 434133619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115064631296).

434133619920 is an abundant number, since it is smaller than the sum of its proper divisors (1795995642672).

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

434133619920 is a wasteful number, since it uses less digits than its factorization.

434133619920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 434133619920 in words is "four hundred thirty-four billion, one hundred thirty-three million, six hundred nineteen thousand, nine hundred twenty".