4011551040 has 224 divisors, whose sum is σ = 14622499584. Its totient is φ = 912752640.

The previous prime is 4011551009. The next prime is 4011551053. The reversal of 4011551040 is 401551104.

4011551040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4011550998 and 4011551016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618282 + ... + 1620758.

It is an arithmetic number, because the mean of its divisors is an integer number (65279016).

Almost surely, 2^4011551040 is an apocalyptic number.

4011551040 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 4011551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311249792).

4011551040 is an abundant number, since it is smaller than the sum of its proper divisors (10610948544).

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

4011551040 is a wasteful number, since it uses less digits than its factorization.

4011551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 4011551040 is about 63336.8063609147. The cubic root of 4011551040 is about 1588.9275945675.

It can be divided in two parts, 401 and 1551040, that added together give a triangular number (1551441 = T₁₇₆₁).

The spelling of 4011551040 in words is "four billion, eleven million, five hundred fifty-one thousand, forty".