22402018679040 has 5184 divisors, whose sum is σ = 112779207131136. Its totient is φ = 4138573824000.

The previous prime is 22402018678979. The next prime is 22402018679041. The reversal of 22402018679040 is 4097681020422.

22402018679040 is a `hidden beast` number, since 2 + 240 + 201 + 86 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 (22402018679041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 106170704535 + ... + 106170704745.

Almost surely, 2^{22402018679040} is an apocalyptic number.

22402018679040 is a gapful number since it is divisible by the number (20) 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 22402018679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56389603565568).

22402018679040 is an abundant number, since it is smaller than the sum of its proper divisors (90377188452096).

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

22402018679040 is a wasteful number, since it uses less digits than its factorization.

22402018679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 22402018679040 its reverse (4097681020422), we get a palindrome (26499699699462).

The spelling of 22402018679040 in words is "twenty-two trillion, four hundred two billion, eighteen million, six hundred seventy-nine thousand, forty".