534940449120 has 1152 divisors, whose sum is σ = 2473297182720. Its totient is φ = 101896704000.

The previous prime is 534940449119. The next prime is 534940449157. The reversal of 534940449120 is 21944049435.

534940449120 is a `hidden beast` number, since 5 + 3 + 49 + 40 + 449 + 120 = 666.

It is a super-2 number, since 2×534940449120² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 65304225 + ... + 65312415.

It is an arithmetic number, because the mean of its divisors is an integer number (2146959360).

Almost surely, 2^534940449120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534940449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236648591360).

534940449120 is an abundant number, since it is smaller than the sum of its proper divisors (1938356733600).

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

534940449120 is a wasteful number, since it uses less digits than its factorization.

534940449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 534940449120 in words is "five hundred thirty-four billion, nine hundred forty million, four hundred forty-nine thousand, one hundred twenty".