407948220000 has 720 divisors, whose sum is σ = 1548642775680. Its totient is φ = 101606400000.

The previous prime is 407948219999. The next prime is 407948220011. The reversal of 407948220000 is 22849704.

407948220000 is a `hidden beast` number, since 407 + 9 + 48 + 2 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 161818740 + ... + 161821260.

It is an arithmetic number, because the mean of its divisors is an integer number (2150892744).

Almost surely, 2^407948220000 is an apocalyptic number.

407948220000 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 407948220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774321387840).

407948220000 is an abundant number, since it is smaller than the sum of its proper divisors (1140694555680).

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

407948220000 is a wasteful number, since it uses less digits than its factorization.

407948220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 407948220000 in words is "four hundred seven billion, nine hundred forty-eight million, two hundred twenty thousand".