126106966440 has 1152 divisors, whose sum is σ = 547647609600. Its totient is φ = 24873246720.

The previous prime is 126106966439. The next prime is 126106966463. The reversal of 126106966440 is 44669601621.

It is a happy number.

126106966440 is a `hidden beast` number, since 12 + 6 + 106 + 96 + 6 + 440 = 666.

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 287 ways as a sum of consecutive naturals, for example, 448779100 + ... + 448779380.

It is an arithmetic number, because the mean of its divisors is an integer number (475388550).

Almost surely, 2^126106966440 is an apocalyptic number.

126106966440 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 126106966440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273823804800).

126106966440 is an abundant number, since it is smaller than the sum of its proper divisors (421540643160).

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

126106966440 is a wasteful number, since it uses less digits than its factorization.

126106966440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 126106966440 in words is "one hundred twenty-six billion, one hundred six million, nine hundred sixty-six thousand, four hundred forty".