4129151385600 has 1080 divisors, whose sum is σ = 15669843190848. Its totient is φ = 1074423398400.

The previous prime is 4129151385551. The next prime is 4129151385637. The reversal of 4129151385600 is 65831519214.

It is a happy number.

4129151385600 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 1 + 5 + 1 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12474777435 + ... + 12474777765.

Almost surely, 2^{4129151385600} is an apocalyptic number.

4129151385600 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 4129151385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834921595424).

4129151385600 is an abundant number, since it is smaller than the sum of its proper divisors (11540691805248).

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

4129151385600 is an frugal number, since it uses more digits than its factorization.

4129151385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 4129151385600 in words is "four trillion, one hundred twenty-nine billion, one hundred fifty-one million, three hundred eighty-five thousand, six hundred".