103940862474240 has 768 divisors, whose sum is σ = 407058085324800. Its totient is φ = 24948228096000.

The previous prime is 103940862474223. The next prime is 103940862474247. The reversal of 103940862474240 is 42474268049301.

103940862474240 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 4 + 0 + 8 + 624 + 7 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (103940862474247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307000089 + ... + 307338471.

It is an arithmetic number, because the mean of its divisors is an integer number (530023548600).

Almost surely, 2^{103940862474240} is an apocalyptic number.

103940862474240 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 103940862474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203529042662400).

103940862474240 is an abundant number, since it is smaller than the sum of its proper divisors (303117222850560).

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

103940862474240 is a wasteful number, since it uses less digits than its factorization.

103940862474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338531 (or 338505 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 103940862474240 in words is "one hundred three trillion, nine hundred forty billion, eight hundred sixty-two million, four hundred seventy-four thousand, two hundred forty".