49095709740000 has 1920 divisors, whose sum is σ = 227653227648000. Its totient is φ = 10201282560000.

The previous prime is 49095709739897. The next prime is 49095709740001. The reversal of 49095709740000 is 4790759094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49095709740001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2037407952 + ... + 2037432048.

It is an arithmetic number, because the mean of its divisors is an integer number (118569389400).

Almost surely, 2^{49095709740000} is an apocalyptic number.

49095709740000 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 49095709740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113826613824000).

49095709740000 is an abundant number, since it is smaller than the sum of its proper divisors (178557517908000).

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

49095709740000 is a wasteful number, since it uses less digits than its factorization.

49095709740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 49095709740000 in words is "forty-nine trillion, ninety-five billion, seven hundred nine million, seven hundred forty thousand".