434270148480 has 768 divisors, whose sum is σ = 1778873765760. Its totient is φ = 95551488000.

The previous prime is 434270148479. The next prime is 434270148491. The reversal of 434270148480 is 84841072434.

434270148480 is a `hidden beast` number, since 4 + 3 + 4 + 27 + 0 + 148 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 144706980 + ... + 144709980.

Almost surely, 2^434270148480 is an apocalyptic number.

434270148480 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 434270148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889436882880).

434270148480 is an abundant number, since it is smaller than the sum of its proper divisors (1344603617280).

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

434270148480 is a wasteful number, since it uses less digits than its factorization.

434270148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 434270148480 in words is "four hundred thirty-four billion, two hundred seventy million, one hundred forty-eight thousand, four hundred eighty".