1126007167040 has 448 divisors, whose sum is σ = 3289269731328. Its totient is φ = 358992691200.

The previous prime is 1126007167013. The next prime is 1126007167079. The reversal of 1126007167040 is 407617006211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190748729 + ... + 190754631.

It is an arithmetic number, because the mean of its divisors is an integer number (7342119936).

Almost surely, 2^{1126007167040} is an apocalyptic number.

1126007167040 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 1126007167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644634865664).

1126007167040 is an abundant number, since it is smaller than the sum of its proper divisors (2163262564288).

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

1126007167040 is a wasteful number, since it uses less digits than its factorization.

1126007167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 1126007167040 in words is "one trillion, one hundred twenty-six billion, seven million, one hundred sixty-seven thousand, forty".