407261252160 has 224 divisors, whose sum is σ = 1641974181120. Its totient is φ = 93088272384.

The previous prime is 407261252159. The next prime is 407261252239. The reversal of 407261252160 is 61252162704.

It is a happy number.

407261252160 is a `hidden beast` number, since 4 + 0 + 72 + 6 + 1 + 2 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×407261252160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3306429 + ... + 3427388.

It is an arithmetic number, because the mean of its divisors is an integer number (7330241880).

Almost surely, 2^407261252160 is an apocalyptic number.

407261252160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407261252160 is an abundant number, since it is smaller than the sum of its proper divisors (1234712928960).

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

407261252160 is a wasteful number, since it uses less digits than its factorization.

407261252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733850 (or 6733834 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 407261252160 in words is "four hundred seven billion, two hundred sixty-one million, two hundred fifty-two thousand, one hundred sixty".