4929420541440 has 160 divisors (see below), whose sum is σ = 15769960256160. Its totient is φ = 1313576321024.

The previous prime is 4929420541433. The next prime is 4929420541453. The reversal of 4929420541440 is 441450249294.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4929420541440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10593352 + ... + 11048888.

It is an arithmetic number, because the mean of its divisors is an integer number (98562251601).

Almost surely, 2^{4929420541440} is an apocalyptic number.

4929420541440 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 4929420541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884980128080).

4929420541440 is an abundant number, since it is smaller than the sum of its proper divisors (10840539714720).

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

4929420541440 is a wasteful number, since it uses less digits than its factorization.

4929420541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456972 (or 456956 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 4929420541440 in words is "four trillion, nine hundred twenty-nine billion, four hundred twenty million, five hundred forty-one thousand, four hundred forty".