5402106642240 has 504 divisors, whose sum is σ = 23341426967040. Its totient is φ = 1122515159040.

The previous prime is 5402106642239. The next prime is 5402106642241. The reversal of 5402106642240 is 422466012045.

5402106642240 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 1 + 0 + 6 + 642 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5402106642239) and next prime (5402106642241).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 5402106642195 and 5402106642204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5402106642241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1332081 + ... + 3546639.

Almost surely, 2^{5402106642240} 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 5402106642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670713483520).

5402106642240 is an abundant number, since it is smaller than the sum of its proper divisors (17939320324800).

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

5402106642240 is a wasteful number, since it uses less digits than its factorization.

5402106642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214611 (or 2214587 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 5402106642240 in words is "five trillion, four hundred two billion, one hundred six million, six hundred forty-two thousand, two hundred forty".