940420400640 has 640 divisors, whose sum is σ = 3624865136640. Its totient is φ = 203182276608.

The previous prime is 940420400639. The next prime is 940420400641. The reversal of 940420400640 is 46004024049.

It is an interprime number because it is at equal distance from previous prime (940420400639) and next prime (940420400641).

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

It is a super-2 number, since 2×940420400640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940420400641) 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, 660870969 + ... + 660872391.

It is an arithmetic number, because the mean of its divisors is an integer number (5663851776).

Almost surely, 2^940420400640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940420400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812432568320).

940420400640 is an abundant number, since it is smaller than the sum of its proper divisors (2684444736000).

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

940420400640 is a wasteful number, since it uses less digits than its factorization.

940420400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 940420400640 its reverse (46004024049), we get a palindrome (986424424689).

The spelling of 940420400640 in words is "nine hundred forty billion, four hundred twenty million, four hundred thousand, six hundred forty".