13951425833040 has 640 divisors, whose sum is σ = 47212341073920. Its totient is φ = 3396916224000.

The previous prime is 13951425832979. The next prime is 13951425833053. The reversal of 13951425833040 is 4033852415931.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 3197665899 + ... + 3197670261.

It is an arithmetic number, because the mean of its divisors is an integer number (73769282928).

Almost surely, 2^{13951425833040} is an apocalyptic number.

13951425833040 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 13951425833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606170536960).

13951425833040 is an abundant number, since it is smaller than the sum of its proper divisors (33260915240880).

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

13951425833040 is a wasteful number, since it uses less digits than its factorization.

13951425833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 13951425833040 in words is "thirteen trillion, nine hundred fifty-one billion, four hundred twenty-five million, eight hundred thirty-three thousand, forty".