49429458798720 has 1536 divisors, whose sum is σ = 217418431426560. Its totient is φ = 9388663603200.

The previous prime is 49429458798719. The next prime is 49429458798721. The reversal of 49429458798720 is 2789785492494.

It is an interprime number because it is at equal distance from previous prime (49429458798719) and next prime (49429458798721).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (49429458798721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1385686485 + ... + 1385722155.

It is an arithmetic number, because the mean of its divisors is an integer number (141548457960).

Almost surely, 2^{49429458798720} is an apocalyptic number.

49429458798720 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 49429458798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108709215713280).

49429458798720 is an abundant number, since it is smaller than the sum of its proper divisors (167988972627840).

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

49429458798720 is a wasteful number, since it uses less digits than its factorization.

49429458798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35834 (or 35815 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 78.

The spelling of 49429458798720 in words is "forty-nine trillion, four hundred twenty-nine billion, four hundred fifty-eight million, seven hundred ninety-eight thousand, seven hundred twenty".