40485120 has 144 divisors (see below), whose sum is σ = 139417152. Its totient is φ = 9953280.

The previous prime is 40485113. The next prime is 40485161. The reversal of 40485120 is 2158404.

40485120 = T₃₉ + T₄₀ + ... + T₆₂₃.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 49515 + ... + 50325.

Almost surely, 2^40485120 is an apocalyptic number.

40485120 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 40485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69708576).

40485120 is an abundant number, since it is smaller than the sum of its proper divisors (98932032).

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

40485120 is a wasteful number, since it uses less digits than its factorization.

40485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 40485120 is about 6362.7918400652. The cubic root of 40485120 is about 343.3722099650.

The spelling of 40485120 in words is "forty million, four hundred eighty-five thousand, one hundred twenty".