16121948040 has 288 divisors, whose sum is σ = 59455468800. Its totient is φ = 3781958400.

The previous prime is 16121948027. The next prime is 16121948041. The reversal of 16121948040 is 4084912161.

16121948040 is a `hidden beast` number, since 16 + 121 + 9 + 480 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16121947986 and 16121948004.

It is not an unprimeable number, because it can be changed into a prime (16121948041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1344391 + ... + 1356329.

It is an arithmetic number, because the mean of its divisors is an integer number (206442600).

Almost surely, 2^16121948040 is an apocalyptic number.

16121948040 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 16121948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29727734400).

16121948040 is an abundant number, since it is smaller than the sum of its proper divisors (43333520760).

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

16121948040 is a wasteful number, since it uses less digits than its factorization.

16121948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16121948040 in words is "sixteen billion, one hundred twenty-one million, nine hundred forty-eight thousand, forty".