409657379040 has 1152 divisors, whose sum is σ = 1800958924800. Its totient is φ = 85140357120.

The previous prime is 409657379003. The next prime is 409657379041. The reversal of 409657379040 is 40973756904.

It is a happy number.

409657379040 is a `hidden beast` number, since 409 + 65 + 73 + 79 + 0 + 40 = 666.

409657379040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409657379041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362849196 + ... + 362850324.

It is an arithmetic number, because the mean of its divisors is an integer number (1563332400).

Almost surely, 2^409657379040 is an apocalyptic number.

409657379040 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 409657379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900479462400).

409657379040 is an abundant number, since it is smaller than the sum of its proper divisors (1391301545760).

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

409657379040 is a wasteful number, since it uses less digits than its factorization.

409657379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 409657379040 in words is "four hundred nine billion, six hundred fifty-seven million, three hundred seventy-nine thousand, forty".