40970160 has 240 divisors, whose sum is σ = 171774720. Its totient is φ = 8501760.

The previous prime is 40970159. The next prime is 40970173. The reversal of 40970160 is 6107904.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55071 + ... + 55809.

It is an arithmetic number, because the mean of its divisors is an integer number (715728).

Almost surely, 2^40970160 is an apocalyptic number.

40970160 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 40970160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887360).

40970160 is an abundant number, since it is smaller than the sum of its proper divisors (130804560).

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

40970160 is a wasteful number, since it uses less digits than its factorization.

40970160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40970160 is about 6400.7937007843. The cubic root of 40970160 is about 344.7380494245.

The spelling of 40970160 in words is "forty million, nine hundred seventy thousand, one hundred sixty".