103419049328640 has 1920 divisors, whose sum is σ = 404593704345600. Its totient is φ = 25037037895680.

The previous prime is 103419049328599. The next prime is 103419049328659. The reversal of 103419049328640 is 46823940914301.

103419049328640 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 90 + 493 + 2 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336869867367 + ... + 336869867673.

It is an arithmetic number, because the mean of its divisors is an integer number (210725887680).

Almost surely, 2^{103419049328640} is an apocalyptic number.

103419049328640 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 103419049328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202296852172800).

103419049328640 is an abundant number, since it is smaller than the sum of its proper divisors (301174655016960).

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

103419049328640 is an frugal number, since it uses more digits than its factorization.

103419049328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 103419049328640 in words is "one hundred three trillion, four hundred nineteen billion, forty-nine million, three hundred twenty-eight thousand, six hundred forty".