40376448 has 128 divisors (see below), whose sum is σ = 136272000. Its totient is φ = 11529216.

The previous prime is 40376443. The next prime is 40376491. The reversal of 40376448 is 84467304.

40376448 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 644 + 8 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (40376443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23358 + ... + 25026.

It is an arithmetic number, because the mean of its divisors is an integer number (1064625).

Almost surely, 2^40376448 is an apocalyptic number.

40376448 is a gapful number since it is divisible by the number (48) 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 40376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68136000).

40376448 is an abundant number, since it is smaller than the sum of its proper divisors (95895552).

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

40376448 is a wasteful number, since it uses less digits than its factorization.

40376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40376448 is about 6354.2464541439. The cubic root of 40376448 is about 343.0647028927.

The spelling of 40376448 in words is "forty million, three hundred seventy-six thousand, four hundred forty-eight".