10429394041440 has 288 divisors, whose sum is σ = 38837055059712. Its totient is φ = 2527604352000.

The previous prime is 10429394041427. The next prime is 10429394041441. The reversal of 10429394041440 is 4414049392401.

10429394041440 is a `hidden beast` number, since 1 + 0 + 42 + 93 + 9 + 40 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429394041441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55520475 + ... + 55708005.

It is an arithmetic number, because the mean of its divisors is an integer number (134850885624).

Almost surely, 2^{10429394041440} is an apocalyptic number.

10429394041440 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 10429394041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418527529856).

10429394041440 is an abundant number, since it is smaller than the sum of its proper divisors (28407661018272).

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

10429394041440 is a wasteful number, since it uses less digits than its factorization.

10429394041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191074 (or 191063 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10429394041440 in words is "ten trillion, four hundred twenty-nine billion, three hundred ninety-four million, forty-one thousand, four hundred forty".