40147200 has 324 divisors, whose sum is σ = 155685348. Its totient is φ = 9830400.

The previous prime is 40147187. The next prime is 40147243. The reversal of 40147200 is 274104.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 37161216 = 1728^2 + 6096^2 .

It is a super-2 number, since 2×40147200² = 3223595335680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979180 + ... + 979220.

Almost surely, 2^40147200 is an apocalyptic number.

40147200 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 40147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77842674).

40147200 is an abundant number, since it is smaller than the sum of its proper divisors (115538148).

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

40147200 is a wasteful number, since it uses less digits than its factorization.

40147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40147200 is about 6336.1818155732. The cubic root of 40147200 is about 342.4141898798.

The spelling of 40147200 in words is "forty million, one hundred forty-seven thousand, two hundred".