408101379840 has 2880 divisors, whose sum is σ = 2010376101888. Its totient is φ = 76441190400.

The previous prime is 408101379839. The next prime is 408101379841. The reversal of 408101379840 is 48973101804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408101379839) and next prime (408101379841).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408101379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4207230672 + ... + 4207230768.

Almost surely, 2^408101379840 is an apocalyptic number.

408101379840 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 408101379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005188050944).

408101379840 is an abundant number, since it is smaller than the sum of its proper divisors (1602274722048).

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

408101379840 is a wasteful number, since it uses less digits than its factorization.

408101379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 408101379840 in words is "four hundred eight billion, one hundred one million, three hundred seventy-nine thousand, eight hundred forty".