10447407901440 has 432 divisors, whose sum is σ = 38076187968000. Its totient is φ = 2637488037888.

The previous prime is 10447407901429. The next prime is 10447407901487. The reversal of 10447407901440 is 4410970474401.

10447407901440 is a `hidden beast` number, since 10 + 4 + 4 + 7 + 407 + 90 + 144 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 325458511 + ... + 325490609.

It is an arithmetic number, because the mean of its divisors is an integer number (88139324000).

Almost surely, 2^{10447407901440} is an apocalyptic number.

10447407901440 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 10447407901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038093984000).

10447407901440 is an abundant number, since it is smaller than the sum of its proper divisors (27628780066560).

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

10447407901440 is a wasteful number, since it uses less digits than its factorization.

10447407901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10447407901440 in words is "ten trillion, four hundred forty-seven billion, four hundred seven million, nine hundred one thousand, four hundred forty".