126004016460 has 288 divisors, whose sum is σ = 434941920000. Its totient is φ = 27100168704.

The previous prime is 126004016449. The next prime is 126004016461. The reversal of 126004016460 is 64610400621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126004016461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8315571 + ... + 8330709.

It is an arithmetic number, because the mean of its divisors is an integer number (1510215000).

Almost surely, 2^126004016460 is an apocalyptic number.

126004016460 is a gapful number since it is divisible by the number (10) 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 126004016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217470960000).

126004016460 is an abundant number, since it is smaller than the sum of its proper divisors (308937903540).

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

126004016460 is a wasteful number, since it uses less digits than its factorization.

126004016460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15333 (or 15324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 126004016460 in words is "one hundred twenty-six billion, four million, sixteen thousand, four hundred sixty".