40970880 has 128 divisors (see below), whose sum is σ = 145166400. Its totient is φ = 10920960.

The previous prime is 40970879. The next prime is 40970921. The reversal of 40970880 is 8807904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40970880² = 3357226015948800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16095 + ... + 18465.

Almost surely, 2^40970880 is an apocalyptic number.

40970880 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 40970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72583200).

40970880 is an abundant number, since it is smaller than the sum of its proper divisors (104195520).

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

40970880 is a wasteful number, since it uses less digits than its factorization.

40970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 40970880 is about 6400.8499435622. The cubic root of 40970880 is about 344.7400688612.

It can be divided in two parts, 409 and 70880, that added together give a square (71289 = 267²).

The spelling of 40970880 in words is "forty million, nine hundred seventy thousand, eight hundred eighty".