1620123350040 has 384 divisors, whose sum is σ = 5935454703360. Its totient is φ = 395069197824.

The previous prime is 1620123350017. The next prime is 1620123350051. The reversal of 1620123350040 is 400533210261.

1620123350040 is a `hidden beast` number, since 1 + 620 + 1 + 2 + 3 + 35 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1620123349986 and 1620123350013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13460607 + ... + 13580433.

It is an arithmetic number, because the mean of its divisors is an integer number (15456913290).

Almost surely, 2^{1620123350040} is an apocalyptic number.

1620123350040 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 1620123350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967727351680).

1620123350040 is an abundant number, since it is smaller than the sum of its proper divisors (4315331353320).

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

1620123350040 is a wasteful number, since it uses less digits than its factorization.

1620123350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119973 (or 119957 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1620123350040 in words is "one trillion, six hundred twenty billion, one hundred twenty-three million, three hundred fifty thousand, forty".