4290154962688 has 288 divisors, whose sum is σ = 10099616576000. Its totient is φ = 1817957965824.

The previous prime is 4290154962671. The next prime is 4290154962689. The reversal of 4290154962688 is 8862694510924.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290154962689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3820262095 + ... + 3820263217.

Almost surely, 2^{4290154962688} 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 4290154962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049808288000).

4290154962688 is an abundant number, since it is smaller than the sum of its proper divisors (5809461613312).

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

4290154962688 is a wasteful number, since it uses less digits than its factorization.

4290154962688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 4290154962688 in words is "four trillion, two hundred ninety billion, one hundred fifty-four million, nine hundred sixty-two thousand, six hundred eighty-eight".