4070041920 has 504 divisors, whose sum is σ = 16478512128. Its totient is φ = 919296000.

The previous prime is 4070041897. The next prime is 4070041931. The reversal of 4070041920 is 291400704.

It is a happy number.

4070041920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21309025 + ... + 21309215.

Almost surely, 2^4070041920 is an apocalyptic number.

4070041920 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 4070041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239256064).

4070041920 is an abundant number, since it is smaller than the sum of its proper divisors (12408470208).

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

4070041920 is a wasteful number, since it uses less digits than its factorization.

4070041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4070041920 is about 63796.8801745038. The cubic root of 4070041920 is about 1596.6128763473.

The spelling of 4070041920 in words is "four billion, seventy million, forty-one thousand, nine hundred twenty".