13404145950 has 192 divisors, whose sum is σ = 39989315520. Its totient is φ = 3281886720.

The previous prime is 13404145921. The next prime is 13404145961. The reversal of 13404145950 is 5954140431.

It is a happy number.

13404145950 is a `hidden beast` number, since 13 + 40 + 4 + 14 + 595 + 0 = 666.

It is a super-3 number, since 3×13404145950³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3455412 + ... + 3459288.

It is an arithmetic number, because the mean of its divisors is an integer number (208277685).

Almost surely, 2^13404145950 is an apocalyptic number.

13404145950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404145950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994657760).

13404145950 is an abundant number, since it is smaller than the sum of its proper divisors (26585169570).

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

13404145950 is a wasteful number, since it uses less digits than its factorization.

13404145950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13404145950 in words is "thirteen billion, four hundred four million, one hundred forty-five thousand, nine hundred fifty".