49819069440 has 660 divisors, whose sum is σ = 205596061968. Its totient is φ = 11300290560.

The previous prime is 49819069429. The next prime is 49819069441. The reversal of 49819069440 is 4496091894.

It is a happy number.

49819069440 is a `hidden beast` number, since 4 + 9 + 8 + 190 + 6 + 9 + 440 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49819069441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 380298175 + ... + 380298305.

Almost surely, 2^49819069440 is an apocalyptic number.

49819069440 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 49819069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102798030984).

49819069440 is an abundant number, since it is smaller than the sum of its proper divisors (155776992528).

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

49819069440 is an equidigital number, since it uses as much as digits as its factorization.

49819069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49819069440 in words is "forty-nine billion, eight hundred nineteen million, sixty-nine thousand, four hundred forty".