534381241987440 has 480 divisors, whose sum is σ = 1856793729024000. Its totient is φ = 137586987417600.

The previous prime is 534381241987391. The next prime is 534381241987561. The reversal of 534381241987440 is 44789142183435.

534381241987440 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 81 + 24 + 1 + 98 + 7 + 440 = 666.

It is a super-2 number, since 2×534381241987440² (a number of 30 digits) contains 22 as substring.

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, 57392460385 + ... + 57392469695.

It is an arithmetic number, because the mean of its divisors is an integer number (3868320268800).

Almost surely, 2^{534381241987440} 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 534381241987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928396864512000).

534381241987440 is an abundant number, since it is smaller than the sum of its proper divisors (1322412487036560).

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

534381241987440 is a wasteful number, since it uses less digits than its factorization.

534381241987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 534381241987440 in words is "five hundred thirty-four trillion, three hundred eighty-one billion, two hundred forty-one million, nine hundred eighty-seven thousand, four hundred forty".