40356096 has 144 divisors (see below), whose sum is σ = 124504128. Its totient is φ = 11468800.

The previous prime is 40356091. The next prime is 40356101. The reversal of 40356096 is 69065304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40356091) and next prime (40356101).

It is a super-2 number, since 2×40356096² = 3257228968722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40356091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143476 + ... + 143756.

It is an arithmetic number, because the mean of its divisors is an integer number (864612).

Almost surely, 2^40356096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62252064).

40356096 is an abundant number, since it is smaller than the sum of its proper divisors (84148032).

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

40356096 is a wasteful number, since it uses less digits than its factorization.

40356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 40356096 is about 6352.6448035444. The cubic root of 40356096 is about 343.0070519053.

The spelling of 40356096 in words is "forty million, three hundred fifty-six thousand, ninety-six".