534029108621400 has 1152 divisors, whose sum is σ = 2231403504844800. Its totient is φ = 111694296038400.

The previous prime is 534029108621387. The next prime is 534029108621513. The reversal of 534029108621400 is 4126801920435.

534029108621400 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 2 + 9 + 10 + 8 + 621 + 4 + 0 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 3881323407 + ... + 3881460993.

Almost surely, 2^{534029108621400} is an apocalyptic number.

534029108621400 is a gapful number since it is divisible by the number (50) 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 534029108621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115701752422400).

534029108621400 is an abundant number, since it is smaller than the sum of its proper divisors (1697374396223400).

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

534029108621400 is a wasteful number, since it uses less digits than its factorization.

534029108621400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138189 (or 138177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 534029108621400 in words is "five hundred thirty-four trillion, twenty-nine billion, one hundred eight million, six hundred twenty-one thousand, four hundred".