119805464264640 has 672 divisors, whose sum is σ = 481598578900992. Its totient is φ = 24698599833600.

The previous prime is 119805464264617. The next prime is 119805464264657. The reversal of 119805464264640 is 46462464508911.

119805464264640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 102686160 + ... + 103846320.

It is an arithmetic number, because the mean of its divisors is an integer number (716664551936).

Almost surely, 2^{119805464264640} is an apocalyptic number.

119805464264640 is a gapful number since it is divisible by the number (10) 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 119805464264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240799289450496).

119805464264640 is an abundant number, since it is smaller than the sum of its proper divisors (361793114636352).

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

119805464264640 is a wasteful number, since it uses less digits than its factorization.

119805464264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160337 (or 1160316 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 119805464264640 in words is "one hundred nineteen trillion, eight hundred five billion, four hundred sixty-four million, two hundred sixty-four thousand, six hundred forty".