40967040 has 128 divisors (see below), whose sum is σ = 137577600. Its totient is φ = 10340352.

The previous prime is 40967011. The next prime is 40967081. The reversal of 40967040 is 4076904.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40966989 and 40967007.

It is a congruent number.

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, 35919 + ... + 37041.

It is an arithmetic number, because the mean of its divisors is an integer number (1074825).

Almost surely, 2^40967040 is an apocalyptic number.

40967040 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 40967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68788800).

40967040 is an abundant number, since it is smaller than the sum of its proper divisors (96610560).

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

40967040 is a wasteful number, since it uses less digits than its factorization.

40967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 40967040 is about 6400.5499763692. The cubic root of 40967040 is about 344.7292982584.

The spelling of 40967040 in words is "forty million, nine hundred sixty-seven thousand, forty".