40201920 has 336 divisors, whose sum is σ = 159763968. Its totient is φ = 9538560.

The previous prime is 40201919. The next prime is 40201921. The reversal of 40201920 is 2910204.

It is an interprime number because it is at equal distance from previous prime (40201919) and next prime (40201921).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40201893 and 40201902.

It is not an unprimeable number, because it can be changed into a prime (40201921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855337 + ... + 855383.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 2^40201920 is an apocalyptic number.

40201920 is a gapful number since it is divisible by the number (40) 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 40201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

40201920 is an abundant number, since it is smaller than the sum of its proper divisors (119562048).

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

40201920 is a wasteful number, since it uses less digits than its factorization.

40201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40201920 is about 6340.4984031226. The cubic root of 40201920 is about 342.5696876331.

The spelling of 40201920 in words is "forty million, two hundred one thousand, nine hundred twenty".