429751429645440 has 1024 divisors, whose sum is σ = 1688440403865600. Its totient is φ = 90888035696640.

The previous prime is 429751429645429. The next prime is 429751429645441. The reversal of 429751429645440 is 44546924157924.

It is a happy number.

It is a super-2 number, since 2×429751429645440² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429751429645441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 888021135 + ... + 888504945.

It is an arithmetic number, because the mean of its divisors is an integer number (1648867581900).

Almost surely, 2^{429751429645440} is an apocalyptic number.

429751429645440 is a gapful number since it is divisible by the number (40) 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 429751429645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844220201932800).

429751429645440 is an abundant number, since it is smaller than the sum of its proper divisors (1258688974220160).

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

429751429645440 is a wasteful number, since it uses less digits than its factorization.

429751429645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483965 (or 483953 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 66.

The spelling of 429751429645440 in words is "four hundred twenty-nine trillion, seven hundred fifty-one billion, four hundred twenty-nine million, six hundred forty-five thousand, four hundred forty".