49344007587840 has 1152 divisors, whose sum is σ = 197318721600000. Its totient is φ = 11171181625344.

The previous prime is 49344007587839. The next prime is 49344007587859. The reversal of 49344007587840 is 4878570044394.

49344007587840 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 4 + 0 + 0 + 7 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×49344007587840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57577604692 + ... + 57577605548.

It is an arithmetic number, because the mean of its divisors is an integer number (171283612500).

Almost surely, 2^{49344007587840} is an apocalyptic number.

49344007587840 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 49344007587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98659360800000).

49344007587840 is an abundant number, since it is smaller than the sum of its proper divisors (147974714012160).

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

49344007587840 is a wasteful number, since it uses less digits than its factorization.

49344007587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 49344007587840 in words is "forty-nine trillion, three hundred forty-four billion, seven million, five hundred eighty-seven thousand, eight hundred forty".