414692144640 has 640 divisors, whose sum is σ = 1519694161920. Its totient is φ = 107130322944.

The previous prime is 414692144539. The next prime is 414692144641. The reversal of 414692144640 is 46441296414.

It is a happy number.

414692144640 is a `hidden beast` number, since 4 + 1 + 469 + 2 + 144 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×414692144640² (a number of 24 digits) contains 22 as substring.

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 (414692144641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347603884 + ... + 347605076.

It is an arithmetic number, because the mean of its divisors is an integer number (2374522128).

Almost surely, 2^414692144640 is an apocalyptic number.

414692144640 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 414692144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759847080960).

414692144640 is an abundant number, since it is smaller than the sum of its proper divisors (1105002017280).

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

414692144640 is a wasteful number, since it uses less digits than its factorization.

414692144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 414692144640 in words is "four hundred fourteen billion, six hundred ninety-two million, one hundred forty-four thousand, six hundred forty".